Persons: Il'ichev, Andrej Teimurazovich

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Il'ichev, Andrej Teimurazovich

Statistics
in MathSciNet:	90 (88)
in zbMATH:	54 (54)
in Web of Science:	85 (83)
in Scopus:	88 (87)

Professor

Doctor of physico-mathematical sciences (1996)

Speciality:

01.02.05 (Mechanics of fluids, gases and plasmas)

Birth date:

23.05.1959

E-mail:

Website:

https://www.mi.ras.ru/~ilichev

Keywords:

nonlinear waves, dispersive and dissipative media, hamiltonian systems, orbital stability of bound states, solitary waves, exponential instability, Evans' function, collapse, asymptotic methods, qualitative theory of dynamical systems, center manifold reduction, normal forms.

Subject:

The scientific interests concern the propagation of nonlinear waves in dispersive and dissipative media, stability of localized wave structures and also of interfaces in fluid mechanics, elasticity, and filtration theory. A number of results were obtained about the existence and propagation of different types of solitary waves in dispersive and dissipative media of fluid mechanics. The results are included in the monography "Solitary waves in fluid dynamics". The problems are solved about the stability and instability of solitons in fluids, plasmas, elastic rods and composites and also of waveguide structures in the fluid. In a number of papers with G. G. Tsypkin a topological approach is adapted to investigation of stability of water-vapor interfaces in some models of hydrothermal systems. It was shown that stability of the interface persists for values of permeability, characteristic for natural hydrothermal reservoirs.

Biography

Graduated from Faculty of Mathematics and Mechanics of M. V. Lomonosov State University (MSU) in 1981 (department of hydromechanics). Ph.D. thesis was defended in 1986 D.Sci. thesis was defended in 1996. A list of my works contains about 50 titles.

In 1999 I was awarded the prize named after Academician G. I. Petrov for series of papers on nonlinear problems of theory of hydrodynamical stability.

Main publications:

Haragus-Courcelle M., Ilichev A. Three dimensional solitary waves in the presence of additional surface effects // Eur. J. Mech. B/Fluids, 1998, 17, 739–768.
Ilichev A. Stability of solitary waves in nonlinear composite media // Physica D, 2001, 150, 264–277.

https://www.mathnet.ru/eng/person17713

List of publications on Google Scholar

https://zbmath.org/authors/ai:ilichev.andrej-t

https://mathscinet.ams.org/mathscinet/MRAuthorID/213527

https://elibrary.ru/author_items.asp?authorid=6408

https://www.webofscience.com/wos/author/record/Q-4092-2016

https://www.scopus.com/authid/detail.url?authorId=7006402366

List of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)

1.	A. T. Il'ichev, A. Yu. Semenov, “Stability of solitary waves in dispersive media described by a fifth-order evolution equation”, Theoretical and Computational Fluid Dynamics, 3 (1992), 307-326	48 ^[x]
2.	Y. B. Fu, A. T. Il'ichev, “Localized standing waves in a hyperelastic membrane tube and their stabilization by a mean flow”, Math. Mech. Solids, 20 (2015), 1198–2014	37 ^[x]
3.	G. Tsypkin, A. Il'ichev, “Gravitational stability of the interface in water over steam geothermal reservoirs”, Transp. Porous Media, 55:2 (2004), 183–199	35 ^[x]
4.	M. Hărăguş-Courcelle, A. Il'ichev, “Three-dimensional solitary waves in the presence of additional surface effects”, Eur. J. Mech. B Fluids, 17:5 (1998), 739–768	34 ^[x]
5.	A. T. Il'ichev, Y. B. Fu, “Stability of an inflated hyperelastic membrane tube with localized wall thinning”, Internat. J. Engrg. Sci., 80 (2014), 53–61	33 ^[x]
6.	A. T. Il'ichev, Y.-B. Fu, “Stability of aneurysm solutions in a fluid-filled elastic membrane tube”, Acta Mechanica Sinica, 28:4 (2012), 1209–1218	32 ^[x]
7.	Y. B. Fu, A. T. Il'ichev, “Solitary waves in fluid-filled elastic tubes: existence, persistence, and the role of axial displacement”, IMA J. Appl. Math., 75:2 (2010), 257–268	32 ^[x]
8.	A. T. Il'ichev, G. G. Tsypkin, “Catastrophic transition to instability of evaporation front in a porous medium”, Eur. J. Mech. B Fluids, 27:6 (2008), 665–677	31 ^[x]
9.	A. T. Il'ichev, G. G. Tsypkin, D. Pritchard, Ch. N. Richardson, “Instability of the salinity profile during the evaporation of saline groundwater”, J. Fluid Mech., 614 (2008), 87–104	30 ^[x]
10.	V. A. Shargatov, A. T. Il'ichev, G. G. Tsypkin, “Dynamics and stability of moving fronts of water evaporation in a porous medium”, Int. J. Heat and Mass Transfer, 83 (2015), 552–561	28 ^[x]
11.	A. T. Il'ichev, “Solitary waves in media with dispersion and dissipation (a review)”, Fluid Dynam., 35:2 (2000), 157–176
12.	A. T. Il'ichev, “Soliton-like structures on a water-ice interface”, Russian Math. Surveys, 70:6 (2015), 1051–1103
13.	V. A. Shargatov, S. V. Gorkunov, A. T. Il'ichev, “Dynamics of front-like water evaporation phase transition interfaces”, Commun. Nonlinear Sci. Numer. Simul., 67 (2019), 223–236	22 ^[x]
14.	A. T. Il'ichev, G. G. Tsypkin, “Instabilities of uniform filtration flows with phase transition”, J. Exp. Theor. Phys., 107:4 (2008), 699–711
15.	A. T. Il'ichev, A. P. Chugainova, V. A. Shargatov, “Spectral stability of special discontinuities”, Dokl. Math., 91:3 (2015), 347–351
16.	F. Dias, A. Il'ichev, “Interfacial waves with free-surface boundary conditions: an approach via a model equation”, Phys. D, 150:3-4 (2001), 278–300	18 ^[x]
17.	A. T. Il'ichev, V. A. Shargatov, Y. B. Fu, “Characterization and dynamical stability of fully nonlinear strain solitary waves in a fluid-filled hyperelastic membrane tube”, Acta Mech., 231 (2020), 4095–4110	17 ^[x]
18.	A. T. Il'ichev, “Steady waves in a cold plasma”, J. Plasma Physics, 55 (1996), 181–194	16 ^[x]
19.	A. T. Il'ichev, V. A. Shargatov, “Dynamics of vater evaporation fronts”, Comput. Math. Math. Phys., 53:9 (2013), 1350–1370
20.	I. Bakholdin, A. Il'ichev, “Radiation and modulational instability described by the fifth-order Korteweg-de Vries equation”, Mathematical problems in the theory of water waves (Luminy, 1995), Contemp. Math., 200, Amer. Math. Soc., Providence, RI, 1996, 1–15	15 ^[x]
21.	A. T. Il'ichev, A. A. Savin, A. S. Savin, “Formation of wave on an ice-sheet above the dipole, moving in a fluid”, Dokl. Phys., 57:5 (2012), 202–205
22.	A. T. Il'ichev, G. G. Tsypkin, “Transition to instability of the interface in geothermal systems”, Eur. J. Mech. B Fluids, 24:4 (2005), 491–501	14 ^[x]
23.	A. T. Il'ichev, A. V. Marchenko, “Propagation of long nonlinear waves in a ponderable fluid beneath an ice sheet”, Fluid Dynam., 24:1 (1989), 73–79
24.	A. T. Il'ichev, “Effective wavelength of envelope waves on the water surface beneath an ice sheet: small amplitudes and moderate depths”, Theoret. and Math. Phys., 208:3 (2021), 1182–1200
25.	A. Beliaev, A. Il'ichev, “Conditional stability of solitary waves propagating in elastic rods”, Phys. D, 90:1-2 (1996), 107–118	12 ^[x]
26.	A. T. Il'ichev, “Solitary wave packets beneath a compressed ice cover”, Fluid Dyn., 51:3 (2016), 327–337
27.	A. T. Il'ichev, “Envelope Solitary Waves and Dark Solitons at a Water–Ice Interface”, Proc. Steklov Inst. Math., 289 (2015), 152–166
28.	I. Bakholdin, A. Il'ichev, “Solitary-wave decay in a cold plasma”, J. Plasma Physics, 60 (1998), 569–580	11 ^[x]
29.	A. T. Il'ichev, A. P. Chugainova, “Spectral stability theory of heteroclinic solutions to the Korteweg–de Vries–Burgers equation with an arbitrary potential”, Proc. Steklov Inst. Math., 295 (2016), 148–157
30.	A. T. Il'ichev, A. S. Savin, “Process of establishing a plane-wave system on ice cover over a dipole moving uniformly in an ideal fluid column”, Theoret. and Math. Phys., 193:3 (2017), 1801–1810
31.	A. T. Il'ichev, V. Ya. Tomashpolskii, “Soliton-like structures on a liquid surface under an ice cover”, Theoret. and Math. Phys., 182:2 (2015), 231–245
32.	A. T. Il'ichev, “Instability of solitary waves on Euler's elastica”, Z. Angew. Math. Phys., 57:4 (2006), 547–566	9 ^[x]
33.	L. Brevdo, F. Il'ichev, “Multi-modal destabilization of a floating ice layer by wind stress”, Cold Reg. Sci. Technol., 33 (2001), 77–89	9 ^[x]
34.	V.I. Erofeev, A.T. Il'ichev, “Instability of supersonic solitary waves in a generalized elastic electrically conductive medium”, Contin. Mech. Thermodin., 35 (2023), 2313-2323	8 ^[x]
35.	Andrej T. Il'ichev, Viktor Ja. Tomashpolskii, “Characteristic parameters of nonlinear surface envelope waves beneath an ice cover under pre-stress”, Wave Motion, 86 (2019), 11–20	8 ^[x]
36.	A. P. Chugainova, A. T. Ilichev, V. A. Shargatov, “Stability of shock wave structures in nonlinear elastic media”, Math. Mech. Solids, 24:11 (2019), 3456-3471	8 ^[x]
37.	Anna P. Chugainova, Andrey T. Il'ichev, Andrey G. Kulikovskii, Vladimir A. Shargatov, “Problem of arbitrary discontinuity disintegration for the generalized Hopf equation: selection conditions for a unique solution”, J. Appl. Math., 82:3 (2017), 496 , 525 pp.	8 ^[x]
38.	A. T. Il'ichev, “Stability of solitary waves in membrane tubes: A weakly nonlinear analysis”, Theoret. and Math. Phys., 193:2 (2017), 1593–1601
39.	A. Il'ichev, “Stability of solitary waves in nonlinear composite media”, Phys. D, 150:3-4 (2001), 264–277	8 ^[x]
40.	A. Il'ichev, “Self-channelling of surface water waves in the presence of an additional surface pressure”, Three-dimensional aspects of air-sea interaction (Nice, 1998), Eur. J. Mech. B Fluids, 18, no. 3, 1999, 501–510	8 ^[x]
41.	A. G. Kulikovskii, A. T. Il'ichev, A. P. Chugainova, V. A. Shargatov, “On the Structure Stability of a Neutrally Stable Shock Wave in a Gas and on Spontaneous Emission of Perturbations”, J. Exp. Theor. Phys., 131:3 (2020), 481–495
42.	A. T. Il'ichev, G. G. Tsypkin, “Criteria of hydrodynamic instability of a phase interface in hydrothermal systems”, Fluid Dynam., 39:5 (2004), 762–770
43.	L. Brevdo, A. Il'ichev, “Exponential neutral stability of a floating ice layer”, Z. Angew. Math. Phys., 49:3 (1998), 401–419	6 ^[x]
44.	A. T. Il'ichev, A. V. Marchenko, “The formation of non-linear waveguides in the resonant interaction of three surface waves”, J. Appl. Math. Mech., 61:2 (1997), 183–193
45.	G. G. Tsypkin, A. T. Il'ichev, “Superheating of water and morphological instability of the boiling front moving in the low-permeability rock”, Int. J. Heat Mass Transfer, 167 (2021), 120820 , 8 pp.	5 ^[x]
46.	A. T. Il'ichev, A. S. Savin, “On the process of establishment of surface waves in plane flow”, Fluid Dynam., 39:4 (2004), 574–581
47.	I. Bakholdin, A. Il'ichev, A. Zharkov, “Steady magnetoacoustic waves and decay of solitonic structures in a finite-beta plasma”, J. Plasma Physics, 67 (2002), 1–26	5 ^[x]
48.	A. T. Il'ichev, “Solitary waves in a cold plasma”, Math. Notes, 59:5 (1996), 518–524
49.	A. T. Il'ichev, A. S. Savin, A. Yu. Shashkov, Fluid Dyn., 58 (2023), 1076–1086
50.	I. B. Bakholdin, A. T. Ilichev, “Fast magnetosonic solitonic structures in a quasi-neutral collision-free finite-beta plasma”, Wave Motion, 112 (2022), 102936 , 15 pp.	4 ^[x]
51.	A. T. Il'ichev, “Dynamics and spectral stability of soliton-like structures in fluid-filled membrane tubes”, Russian Math. Surveys, 75:5 (2020), 843–882
52.	A. T. Il'ichev, “Physical parameters of solitary wave packets in shallow basins under ice cover”, Theoret. and Math. Phys., 201:3 (2019), 1710–1722
53.	A. T. Il'ichev, G. G. Tsypkin, “Morphological instability of an evaporation front moving in a geothermal reservoir”, Fluid Dynamics, 51:6 (2016), 776–783
54.	A. T. Il'ichev, G. G. Tsypkin, “Stability of water-vapor phase transition in geothermal systems”, Fluid Dynamics, 47:4 (2012), 501–510
55.	A. T. Il'ichev, G. G. Tsypkin, “Influence of advective transfer of energy on stability water over steam in geothermal reservoirs”, Dokl. Phys., 56 (2011), 227–231
56.	A. T. Il'ichev, G. G. Tsypkin, “Rayleigh–Taylor instability of an interface in a nonwettable porous medium”, Fluid Dynam., 42:1 (2007), 83–90
57.	L . Brevdo, A. Il'ichev, “Uni-modal destabilization of a visco-elastic floating ice layer by wind stress”, Eur. J. Mech. A Solids, 25:3 (2006), 509–525	4 ^[x]
58.	L. Brevdo, A. Il'ichev, “Absolute instability of a thin visco-elastic plate in an air flow”, Eur. J. Mech. A Solids, 23:6 (2004), 1069–1084	4 ^[x]
59.	I. Bakholdin, A. Il'ichev, “Instability and collapse of waveguides on the water surface under the ice cover”, Eur. J. Mech. B Fluids, 22:3 (2003), 291–304	4 ^[x]
60.	A. Il'ichev, “Faraday resonance: asymptotic theory of surface waves”, Phys. D, 119:3-4 (1998), 327–351	4 ^[x]
61.	A. T. Il'ichev, A. S. Savin, A. Yu. Shashkov, “Motion of liquid particles in the field of 1:1 resonance nonlinear wave structures in a fluid beneath an ice cover”, Int. J. Non-Linear Mech., 160 (2024), 104665 , 9 pp.	3 ^[x]
62.	A. T. Il'ichev, A. S. Savin, “Evolution of perturbations of a free surface from a pulsating underwater source in a fluid of finite depth”, Fluid Dyn., 56:6 (2021), 780–785
63.	A. G. Kulikovskii, A. T. Il'ichev, A. P. Chugainova, V. A. Shargatov, “Spontaneously radiating shock waves”, Doklady Physics, 64:7 (2019), 293–296
64.	A. T. Ilichev, G. G. Tsypkin, “Slabonelineinaya teoriya neustoichivosti dlinnovolnovykh vozmuschenii”, Dokl. RAN, 416:2 (2007), 192–194	3 ^[x]
65.	A. T. Il'ichev, “Stability Theory of the Euler Loop on Inextensible Elastic Rods”, Proc. Steklov Inst. Math., 251 (2005), 146–164
66.	I. Bakholdin, A. Il'ichev, V. Tomashpol'skii, “Stability, instability and interaction of solitary pulses in a composite medium”, Eur. J. Mech. A Solids, 21:2 (2002), 333–346	3 ^[x]
67.	A. T. Il'ichev, “Solitary and generalized solitary waves in dispersive media”, J. Appl. Math. Mech., 61:4 (1997), 587–600
68.	A. T. Il'ichev, “Existence of a family of soliton-like solutions for the Kawahara equation”, Math. Notes, 52:1 (1992), 662–668
69.	A. T. Il'ichev, “Properties of a fifth-order nonlinear evolution equation that describes wave processes in media with weak dispersion”, Proc. Steklov Inst. Math., 186 (1991), 255–260
70.	A. T. Il'ichev, A. S. Savin, A. Yu. Shashkov, “Motion of particles in the field of nonlinear wave packets in a liquid layer under an ice cover”, Theoret. and Math. Phys., 218:3 (2024), 503–514
71.	A.T. Il'ichev, G.G. Tsypkin, “Stability of the Interface in a Porous Medium in the Framework of Darcy’s and Brinkman’s Approximations”, Transp. Porous Media, 148 (2023), 317-333	2 ^[x]
72.	A. T. Il'ichev, V. A. Shargatov, “Stability of the aneurysm-type solution in a membrane tube with localized wall thinning filled with a fluid with a non-constant velocity profile”, J. Fluids Struct., 114 (2022), 103712 , 12 pp.	2 ^[x]
73.	Andrej Il'ichev, “Physical parameters of envelope solitary waves at a water-ice interface”, AIP Conf. Proc., 1982, 2018, 20036 , 6 pp.	2 ^[x]
74.	A. T. Il'ichev, V. Ja. Tomashpolskii, “Instability of solitons under flexure and twist of an elastic rod”, Theoret. and Math. Phys., 172:3 (2012), 1206–1216
75.	A. T. Il'ichev, V. E. Odintsova,, “Evolution of a long-wave train in loss of stability of a phase interface in geothermal systems”, Fluid Dyn., 43:1 (2008), 97–104
76.	I. B. Bakholdin, F. F. Zharkov, A. N. Il'ichev, “Decay of solitons in an isotropiic collisionless quasineutral plasma with isothermal pressure”, J. Exp. Theor. Phys, 2000, 111–125
77.	A. T. Il'ichev, “Theory of nonlinear waves described by fifth-order evolution equations”, Fluid Dynam., 25:2 (1990), 247–252
78.	Vladimir A. Shargatov, Sergey V. Gorkunov, Andrej T. Il'ichev, “Stability of finite perturbations of the phase transition interface for one problem of water evaporation in a porous medium”, Appl. Math. Comput., 378 (2020), 152208 , 17 pp.	1 ^[x]
79.	A. T. Il'ichev, S. I. Sumskoi, V. A. Shargatov, “Unsteady Flows in Deformable Pipes: The Energy Conservation Law”, Proc. Steklov Inst. Math., 300 (2018), 68–77
80.	A. T. Il'ichev, “Neutral stability of compression solitons in the bending of a nonlinearly elastic rod”, J. Appl. Math. Mech., 72:3 (2008), 323–330
81.	A. T. Ilichev, “Neustoichivost solitonov v nerastyazhimykh sterzhnyakh”, Dokl. RAN, 397:3 (2004), 304–307	1 ^[x]
82.	G. G. Tsypkin, A. T. Ilichev, “Ustoichivost statsionarnogo fronta fazovykh perekhodov voda-par v gidrotermalnykh sistemakh”, Dokl. RAN, 378 (2001), 197–200	1 ^[x]
83.	A. A. Zharkov, A. T. Il'ichev, “Solitary waves in a collisionless plasma with isothermal pressure”, Fluid Dynam., 35:5 (2000), 738–747
84.	I. Bakholdin, A. Il'ichev, “Solitary wave decay in non-linear Faraday resonance”, Eur. J. Mech. B Fluids, 18:1 (1999), 93–102	1 ^[x]
85.	V. I. Erofeev, A. T. Il'ichev, V. Ya. Tomashpolskii, “Asymptotics of the Evans function for subsonic solitary waves in a micropolar electrically conductive elastic medium”, Theoret. and Math. Phys., 224:3 (2025), 1613–1624
86.	A. T. Il'ichev, A. S. Savin, “Motion of fluid particles in the field of a nonlinear periodic surfacewave in a fluid beneath an ice cover”, Comput. Math. Math. Phys., 65:5 (2025), 1103–1112
87.	I. B. Bakholdin, V. I. Erofeev, A. T. Il'ichev, “Spectral stability of subsonic solitary waves in an elastic electrically conductive micropolar medium”, Contin. Mech. Thermodyn., 37 (2025), 88 , 15 pp. ;
88.	A. T. Il'ichev, A. S. Savin, “Motion of Fluid Particles in the Field of a Generalized Surface Solitary Wave in a Fluid under Ice Cover”, Proc. Steklov Inst. Math., 327 (2024), 103–113
89.	A. T. Il'ichev, “Convective Modulation Instability of the Radiation of the Periodic Component in the Case of Resonance of Long and Short Waves”, Proc. Steklov Inst. Math., 322 (2023), 118–126
90.	A.T. Ilichev, G.G. Tsypkin, “Sravnitelnyi analiz priblizhenii Darsi i Brinkmana pri perekhode k neustoichivosti v poristoi srede”, Doklady RAN. Fizika, tekhnicheskie nauki, 508:1 (2023), 30–34
91.	A.T. Ilichev, A.S. Savin, A.Yu. Shashkov, “Traektorii chastits zhidkosti pod ledyanym pokrovom v pole uedinennoi izgibno-gravitatsionnoi volny”, Izv. vuzov. Radiofizika, 66:10 (2023), 848-861
92.	A. T. Il'ichev, V. A. Shargatov, “Stability of an aneurysm in a membrane tube filled with an ideal fluid”, Theoret. and Math. Phys., 211:2 (2022), 642–652
93.	A. T. Il'ichev, “Stability of bound states in infinite domains”, Lekts. Kursy NOC, 32, Steklov Math. Institute of RAS, Moscow, 2022, 3–58 , 58 pp.
94.	V. A. Shargatov, A. T. Ilichev, “Dinamika vozmuschenii pri diffuzii v poristoi srede”, Izbrannye voprosy matematiki i mekhaniki, Sbornik statei. K 70-letiyu so dnya rozhdeniya akademika Valeriya Vasilevicha Kozlova, Tr. MIAN, 310, MIAN, M., 2020, 309–321
95.	S. V. Gorkunov, A. T. Il'ichev, V. A. Shargatov, “Critical evolution of finite perturbations of a water evaporation surface in porous media”, Fluid Dyn., 55:2 (2020), 204–212
96.	G. G. Tsypkin, A. T. Il'ichev, “Comparative Analysis of the Occurrence of Water Superheating and Instability of the Boiling Front in a Porous Medium”, Dokl. Phys., 65:9 (2020), 333–337
97.	A. T. Il'ichev, “Stability of solitary loops propagating along Euler's elastica”, Dynamical Processes in Generalized Continua and Structures, Adv. Struct. Mater., 103, Springer, Cham, 2019, 269–292
98.	A. T. Il'ichev, G. G. Tsypkin, “Evolution of a Condensation Surface in a Porous Medium near the Instability Threshold”, Proc. Steklov Inst. Math., 300 (2018), 78–85
99.	A. T. Il'ichev, “Envelope solitary waves at a water-ice interface: the case of positive initial tensions”, Mathematica Montisnigri, 43 (2018), 49–57
100.	A. T. Il'ichev, “Dynamical stability of running solitary waves in fluid-filled elastic membrane tubes”, JPCS, 1099, no. 1, 2018, 1 , 6 pp.
101.	G. G. Tsypkin, A. T. Il'ichev, “Dynamical instability of the evaporation front in low-permeability geothermal reservoirs”, Dokl. Phys., 61:6 (2016), 297–300
102.	Andrej T. Il'ichev, G. G. Tsypkin, “Geothermal energy and hydrodynamic instability of phase flows”, Energy Science and Technology. Volume 9. Geothermal and Ocean Energy, eds. U. C. Sharma, R. Prasad and S. Sivakumar, Studium Press LLC, USA, Houston, 2015, 214–241
103.	A. T. Ilichev, A. V. Krivosheev, G. G. Tsypkin, V. A. Shargatov, “Dinamika i ustoichivost dvizhuschikhsya frontov ispareniya vody v poristoi srede”, Nauchnaya sessiya NIYaU MIFI-2014, Annotatsii dokladov (Moskva, 30 iyunya – 04 iyulya 2014 g.), Natsionalnyi issledovatelskii yadernyi universitet MIFI, M., 2014, 217
104.	A. T. Il'ichev, G. G. Tsypkin, “Classification of the Types of Instability of Vertical Flows in Geothermal Systems”, Proc. Steklov Inst. Math., 281 (2013), 179–188
105.	A. T. Ilichev, A. A. Savin, “Defocusing of nonlinear wave packets on an ice cover”, Engineering Journal: Science and Innovation, 2013, no. 2, 47–25
106.	A. T. Ilichev, G. G. Tsypkin, “Interaction of stabilizing and destabilizing factors and bifurcations of phase transition fronts”, Engineering Journal: Science and Innovation, 2013, no. 2, 44–13
107.	A. T. Ilichev, Ustoichivost lokalizovannykh voln v nelineino-uprugikh sterzhnyakh, Fizmatlit, M., 2009 , 159 pp.
108.	A. Il'ichev, G. Tsypkin, “Long-wave transition to instability of flows in horizontally extended domains of porous media”, IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence, IUTAM Bookser., 6, Springer-Verlag, Dordrecht, 2008, 291–301
109.	G. G. Tsypkin, A. T. Il'ichev, “Rigid transition to the Rayleigh-Taylor instability of interface in a porous medium”, Dokl. Phys., 51:9 (2006), 523–527
110.	A. T. Ilichev, G. G. Tsypkin, “Kriterii gidrodinamicheskoi ustoichivosti sloya tyazheloi zhidkosti nad legkoi v geotermalnom rezervuare”, Dokl. RAN, 396:5 (2004), 615–619
111.	A. T. Ilichev, Uedinennye volny v modelyakh gidromekhaniki, Fizmatlit, 2003 , 256 pp.
112.	A. T. Il'ichev, “Instability of waveguides in a liquid with surface effects”, Fluid Dynam., 37:6 (2002), 919–930
113.	A. T. Il'ichev, G. G. Tsypkin, “Gravitational stability of a moving water-steam interface in hydrothermal systems”, Fluid Dynam., 37:1 (2002), 3–12
114.	I. B. Bakholdin, A. T. Il'ichev, “Instability of solitary waves in non-linear composite media”, J. Appl. Math. Mech., 65:6 (2001), 977–984 (2002)
115.	A. T Ilichev, “Ustoichivost solitonov v nelineinykh kompozitnykh sredakh”, ZhETF, 118 (2000), 720–729
116.	I. Bakholdin, A. Il'ichev, “Solitary wave instability in a cold plasma”, Proceedings of the IX International Conference on Waves and Stability in Continuous Media (Bari, 1997), Rend. Circ. Mat. Palermo (2) Suppl., no. 57, 1998, 33–38
117.	A. T. Ilichev, “Uedinennye volny-pakety v kholodnoi plazme”, Izv. RAN. MZhG, 1996, no. 5, 154–161
118.	A. T. Il'ichev, “Periodic and quasi-periodic Alfvenic structures in a cold plasma”, Proceedings of the IUTAM/ISIMM Symposium on Structure and Dynamics of Nonlinear Waves in Fluids (Hannover, 1994), Adv. Ser. Nonlinear Dynam., 7, World Sci. Publ., River Edge, NJ, 1995, 275–281
119.	A. T. Il'ichev, A. V. Marchenko, “Nonlinear waveguides in resonance three-wave interaction in an ideal fluid with surface effects”, BRAS Physics/Supplement Physics of Vibrations, 59:2 (1995), 98–107
120.	A. T. Il'ichev, “The existence of solitary waves in dispersive media”, BRAS Physics/Supplement Physics of Vibrations, 59:2 (1995), 88–97
121.	A. T. Il'ichev, “On the existence of generalized solitary waves in media with weak dispersion”, BRAS Physics/Supplement Physics of Vibrations, 59:3 (1995), 130–140
122.	A. T. Il'ichev, A. Yu. Semenov, “Orbital stability of boundary states in the theory of long waves with additional pressure”, Soviet Phys. Dokl., 36:11 (1991), 761–762 (1992)
123.	A. T. Il'ichev, A. Yu. Semënov, Stability of subcritical solitary wave solutions to fifth order evolution equation, Preprint № 28, Akad. Nauk SSSR Inst. Obshcheĭ Fiz., Moscow, 1991 , 44 pp.
124.	V. P. Korobeĭnikov, A. T. Il'ichev, “On some methods of qualitative investigation of one-dimensional evolution equations in continuum mechanics”, Nonlinear wave motion, Pitman Monogr. Surveys Pure Appl. Math., 43, Longman Sci. Tech., Harlow, 1989, 129–147
125.	N. R. Sibgatullin, A. T. Ilichev, “A new method for the integration of equations for axisymmetric and stationary electrovacuum fields and the construction of their general solution”, Gravitatsiya i teoriya otnositelnosti, 24, 1987, 80–93
126.	A. T. Ilichev, V. P. Korobeinikov, “Evolution of singular perturbations in nonlinear media with weak dispersion”, Proceedings of the Eleventh International Conference on Nonlinear Oscillations (Budapest, 1987), János Bolyai Math. Soc., Budapest, 1987, 290–292 (Russian)
127.	A. T. Ilichev, “The Sturm-Liouville problem for stationary axisymmetric gravitational fields”, Dokl. AN SSSR, 291:1 (1986), 67–71
128.	A. T. Ilichev, N. R. Sibgatullin, “Effektivnoe postroenie topologicheski netrivialnykh reshenii v OTO”, Izvestiya vuzov MV i SSO SSSR, Fizika, 1986, no. 9, 75–81
129.	A. T. Ilichev, N. R. Sibgatullin, “Mathematical construction of multivalent solutions in general relativity theory”, Dokl. AN SSSR, 282:5 (1985), 1098–1103
130.	A. T. Ilichev, N. R. Sibgatullin, “Some solutions of supergravity equations on the background of a cosmological model”, Vestn. Mosk. un-ta. Ser. 1 Matem. Mekh., 1985, no. 1, 83–86
131.	A. T. Ilichev, “Static soliton solutions of Einstein-Maxwell equations”, Dokl. AN SSSR, 278:1 (1984), 82–85
132.	A. T. Il'ichev, “Static soliton solutions of Einstein–Maxwell equations”, Dokl. Akad. Nauk SSSR, 278:1 (1984), 82–85
133.	A. T. Il'ichev, A. P. Chugainova, Zh. Vychisl. Mat. Mat. Fiz., 65:5 (2025), 605–607
134.	A. T. Il'ichev, A. V. Porubov, “Nikolai Alekseevich Kudryashov”, TMF, 224:3 (2025), 471–472
135.	S. V. Bolotin, A. T. Il'ichev, V. V. Kozlov, D. V. Treshchev, A. P. Chugainova, “Andrei Gennad'evich Kulikovskii (obituary)”, Russian Math. Surveys, 79:5 (2024), 919–921
136.	V. V. Pukhnachev, A. T. Il'ichev, A. P. Chugainova, “Andrei Gennad'evich Kulikovskii: On the occasion of his 90th birthday”, Proc. Steklov Inst. Math., 322 (2023), 1–3
137.	A. T. Il'ichev, V. V. Kozlov, D. V. Trechshev, A. P. Chugainova, “Andrei Gennad'evich Kulikovskii (on his 80th birthday)”, Russian Math. Surveys, 68:6 (2013), 1145–1155
138.	Matematicheskie aspekty mekhaniki, Sbornik statei. K 60-letiyu akademika Dmitriya Valerevicha Trescheva i 70-letiyu chlena-korrespondenta RAN Sergeya Vladimirovicha Bolotina, Trudy MIAN, 327, ed. V. V. Kozlov, I. A. Taimanov, A. T. Ilichev, A. P. Chugainova, I. Yu. Polekhin, MIAN, M., 2024 , 338 pp.
139.	Sovremennye metody mekhaniki, Sbornik statei. K 90-letiyu akademika Andreya Gennadevicha Kulikovskogo, Trudy MIAN, 322, ed. V. V. Pukhnachev, A. T. Ilichev, A. P. Chugainova, MIAN, M., 2023 , 296 pp.
140.	Sovremennye problemy i metody mekhaniki, Sbornik statei. K 110-letiyu so dnya rozhdeniya akademika Leonida Ivanovicha Sedova, Trudy MIAN, 300, ed. A. G. Kulikovskii, A. T. Ilichev, A. P. Chugainova, MAIK «Nauka/Interperiodika», M., 2018 , 239 pp.

Presentations in Math-Net.Ru

1.	Lecture 9. Solutions describing traveling soliton-like wave structures in continuum mechanics: approximation of flows on a central manifold by integrable normal forms A. T. Il'ichev Course by A. T. Il'ichev "Solutions describing traveling soliton-like wave structures in continuum mechanics: approximation of flows on a central manifold by integrable normal forms" December 2, 2025 18:00
2.	Lecture 8. Solutions describing traveling soliton-like wave structures in continuum mechanics: approximation of flows on a central manifold by integrable normal forms A. T. Il'ichev Course by A. T. Il'ichev "Solutions describing traveling soliton-like wave structures in continuum mechanics: approximation of flows on a central manifold by integrable normal forms" November 25, 2025 18:00
3.	Lecture 7. Solutions describing traveling soliton-like wave structures in continuum mechanics: approximation of flows on a central manifold by integrable normal forms A. T. Il'ichev Course by A. T. Il'ichev "Solutions describing traveling soliton-like wave structures in continuum mechanics: approximation of flows on a central manifold by integrable normal forms" November 18, 2025 18:00
4.	Solutions describing particle trajectories in the field of soliton-like wave structures in a fluid beneath an ice cover A. T. Il'ichev Regular and Chaotic Dynamics. On the 30th Anniversary of the Journal Regular and Chaotic Dynamics October 27, 2025 15:55
5.	Lecture 6. Solutions describing traveling soliton-like wave structures in continuum mechanics: approximation of flows on a central manifold by integrable normal forms A. T. Il'ichev Course by A. T. Il'ichev "Solutions describing traveling soliton-like wave structures in continuum mechanics: approximation of flows on a central manifold by integrable normal forms" October 21, 2025 18:00
6.	Lecture 5. Solutions describing traveling soliton-like wave structures in continuum mechanics: approximation of flows on a central manifold by integrable normal forms A. T. Il'ichev Course by A. T. Il'ichev "Solutions describing traveling soliton-like wave structures in continuum mechanics: approximation of flows on a central manifold by integrable normal forms" October 14, 2025 18:00
7.	Lecture 4. Solutions describing traveling soliton-like wave structures in continuum mechanics: approximation of flows on a central manifold by integrable normal forms A. T. Il'ichev Course by A. T. Il'ichev "Solutions describing traveling soliton-like wave structures in continuum mechanics: approximation of flows on a central manifold by integrable normal forms" October 7, 2025 18:00
8.	Lecture 3. Solutions describing traveling soliton-like wave structures in continuum mechanics: approximation of flows on a central manifold by integrable normal forms A. T. Il'ichev Course by A. T. Il'ichev "Solutions describing traveling soliton-like wave structures in continuum mechanics: approximation of flows on a central manifold by integrable normal forms" September 30, 2025 18:00
9.	Lecture 2. Solutions describing traveling soliton-like wave structures in continuum mechanics: approximation of flows on a central manifold by integrable normal forms A. T. Il'ichev Course by A. T. Il'ichev "Solutions describing traveling soliton-like wave structures in continuum mechanics: approximation of flows on a central manifold by integrable normal forms" September 23, 2025 18:00
10.	Lecture 1. Solutions describing traveling soliton-like wave structures in continuum mechanics: approximation of flows on a central manifold by integrable normal forms A. T. Il'ichev Course by A. T. Il'ichev "Solutions describing traveling soliton-like wave structures in continuum mechanics: approximation of flows on a central manifold by integrable normal forms" September 16, 2025 18:00
11.	Motion of liquid particles in the field of a nonlinear periodic surface wave in a fluid beneath an ice cover A. T. Il'ichev Dynamics in Siberia — 2025 February 28, 2025 10:00
12.	Спектральная неустойчивость сверхзвуковых уединенных волн в упругой проводящей микрополярной среде A. T. Il'ichev December 12, 2024 13:00
13.	Motion of particles in the field of nonlinear wave packets and dark solitons in a fluid beneath an ice cover A. T. Il'ichev Dynamics days in Sirius. On the occasion of academician Dmitry V. Treschev’s anniversary October 28, 2024 11:20
14.	Динамические системы и поток на центральном многообразии: приложение к теории нелинейных волн в диспергирующих средах A. T. Il'ichev School of Young Mechanics and Mathematicians SYMM 2024 October 7, 2024 14:15
15.	Траектории жидких частиц в поле нелинейного волнового пакета и темного солитона в жидкости под ледяным покровом A. T. Il'ichev Seminar of the Department of Mechanics October 23, 2023 12:00
16.	Траектории частиц жидкости в поле поверхностной уединенной волны в слое жидкости под ледяным покровом A. T. Il'ichev, A. S. Savin, А. Ю. Шашков International Conference "Mathematical Methods of Mechanics" dedicated to the anniversary of academician A. G. Kulikovskii March 21, 2023 12:00
17.	Введение в мини-курс «Методы получения и исследования решений нелинейных уравнений в частных производных» + Нелинейные волновые процессы в диспергирующих средах: уравнение Кортевега-де Фриза и свойства его решений A. T. Il'ichev School of Young Mechanics and Mathematicians SYMM 2022 October 3, 2022 15:00
18.	Stability of the aneurism in a membrane tube with localized wall thinning filled with a fluid having a non-constant velocity profile A. T. Il'ichev, V. A. Shargatov International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko June 9, 2022 12:30
19.	Stability of the aneurysm in a membrane tube with localized wall thinning filled with a fluid with a non-constant velocity profile A. T. Il'ichev Beijing–Moscow Mathematics Colloquium May 13, 2022 12:00
20.	Characteristic and dynamic stability of nonlinear solitary strain waves in a liquid-filled elastic membrane tube A. T. Il'ichev School of Young Scientists "Mathematical Methods of Mechanics" November 2, 2021 11:00
21.	Характеристика и динамическая устойчивость нелинейных уединенных волн деформации в заполненной жидкостью упругой мембранной трубке A. T. Il'ichev Seminar of the Department of Mechanics June 15, 2021 16:00
22.	Lecture 12. Stability of non-uniform states in unbounded spatial domains A. T. Il'ichev Course by A. T. Il'ichev "Stability of non-uniform states in unbounded spatial domains" December 2, 2020 18:00
23.	Lecture 11. Stability of non-uniform states in unbounded spatial domains A. T. Il'ichev Course by A. T. Il'ichev "Stability of non-uniform states in unbounded spatial domains" November 25, 2020 18:00
24.	Lecture 10. Stability of non-uniform states in unbounded spatial domains A. T. Il'ichev Course by A. T. Il'ichev "Stability of non-uniform states in unbounded spatial domains" November 18, 2020 18:00
25.	Lecture 9. Stability of non-uniform states in unbounded spatial domains A. T. Il'ichev Course by A. T. Il'ichev "Stability of non-uniform states in unbounded spatial domains" November 11, 2020 18:00
26.	Lecture 8. Stability of non-uniform states in unbounded spatial domains A. T. Il'ichev Course by A. T. Il'ichev "Stability of non-uniform states in unbounded spatial domains" October 28, 2020 18:00
27.	Lecture 7. Stability of non-uniform states in unbounded spatial domains A. T. Il'ichev Course by A. T. Il'ichev "Stability of non-uniform states in unbounded spatial domains" October 21, 2020 18:00
28.	Lecture 6. Stability of non-uniform states in unbounded spatial domains A. T. Il'ichev Course by A. T. Il'ichev "Stability of non-uniform states in unbounded spatial domains" October 14, 2020 18:00
29.	Lecture 5. Stability of non-uniform states in unbounded spatial domains A. T. Il'ichev Course by A. T. Il'ichev "Stability of non-uniform states in unbounded spatial domains" October 7, 2020 18:00
30.	Lecture 4. Stability of non-uniform states in unbounded spatial domains A. T. Il'ichev Course by A. T. Il'ichev "Stability of non-uniform states in unbounded spatial domains" September 30, 2020 18:00
31.	Lecture 3. Stability of non-uniform states in unbounded spatial domains A. T. Il'ichev Course by A. T. Il'ichev "Stability of non-uniform states in unbounded spatial domains" September 23, 2020 18:00
32.	Lecture 2. Stability of non-uniform states in unbounded spatial domains A. T. Il'ichev Course by A. T. Il'ichev "Stability of non-uniform states in unbounded spatial domains" September 16, 2020 18:00
33.	Lecture 1. Stability of non-uniform states in unbounded spatial domains A. T. Il'ichev Course by A. T. Il'ichev "Stability of non-uniform states in unbounded spatial domains" September 9, 2020 18:00
34.	Dynamics of front-like water evaporation phase transition interfaces A. T. Il'ichev Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2019 November 20, 2019 15:45
35.	Волновые структуры на поверхности раздела вода-лед A. T. Il'ichev Seminar of the Department of Mechanics May 21, 2018 12:00
36.	Динамика фронтов испарения воды A. T. Il'ichev Scientific session of the Steklov Mathematical Institute dedicated to the results of 2013 November 20, 2013 14:40
37.	Solitons in elastic shells A. T. Il'ichev Steklov Mathematical Institute Seminar January 28, 2010 16:00
38.	Stability of solitons in elastic composite media A. T. Il'ichev Steklov Mathematical Institute Seminar May 17, 2001

Books in Math-Net.Ru

Mathematical Aspects of Mechanics, Collected papers. Dedicated to Dmitry Valerevich Treschev on the occasion of his 60th birthday and to Sergey Vladimirovich Bolotin on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 327, ed. V. V. Kozlov, I. A. Taimanov, A. T. Il'ichev, A. P. Chugainova, I. Yu. Polekhin, 2024, 338 с.
http://mi.mathnet.ru/book2006
Modern Methods of Mechanics, Collected papers. On the occasion of the 90th birthday of Academician Andrei Gennad'evich Kulikovskii, Trudy Mat. Inst. Steklova, 322, ed. V. V. Pukhnachev, A. T. Il'ichev, A. P. Chugainova, 2023, 296 с.
http://mi.mathnet.ru/book1947
A. T. Il'ichev, Stability of bound states in infinite domains, Lekts. Kursy NOC, 32, 2022, 58 с.
http://mi.mathnet.ru/book1914
Modern problems and methods in mechanics, Collected papers. On the occasion of the 110th anniversary of the birth of Academician Leonid Ivanovich Sedov, Trudy Mat. Inst. Steklova, 300, ed. A. G. Kulikovskii, A. T. Il'ichev, A. P. Chugainova, 2018, 239 с.
http://mi.mathnet.ru/book1686

Organisations