Il'ichev, Andrej Teimurazovich

Total publications: 109 (107)
in MathSciNet: 81 (80)
in zbMATH: 53 (53)
in Web of Science: 72 (71)
in Scopus: 70 (70)
Cited articles: 68
Citations in Math-Net.Ru: 67
Citations in MathSciNet: 87
Citations in Web of Science: 391
Citations in Scopus: 480
Presentations: 5

Number of views:
This page:4189
Abstract pages:4082
Full texts:863
Doctor of physico-mathematical sciences (1996)
Speciality: 01.02.05 (Mechanics of fluids, gases and plasmas)
Birth date: 23.05.1959
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.


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.


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.
List of publications on Google Scholar

Full list of publications:
| scientific publications | by years | by types | by times cited in WoS | by times cited in Scopus | common list |

1. 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 (to appear)  mathnet
2. 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  mathnet  crossref  crossref  isi  elib  scopus

3. 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  mathnet  crossref  mathscinet  isi (cited: 4)  scopus (cited: 7)
4. 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  mathnet  crossref  mathscinet  isi (cited: 2)  scopus (cited: 2)
5. 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  mathnet  crossref  mathscinet  isi  scopus (cited: 1)
6. A. G. Kulikovskii, A. T. Il'ichev, A. P. Chugainova, V. A. Shargatov, “Spontaneously radiating shock waves”, Doklady Physics, 64:7 (2019), 293–296  mathnet  crossref  crossref  isi  elib  scopus
7. 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  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
8. 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  mathnet  crossref  mathscinet  zmath  scopus;

9. 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  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
10. 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  mathnet  crossref  crossref  mathscinet  mathscinet  isi  elib  scopus
11. Andrej Il'ichev, “Physical parameters of envelope solitary waves at a water-ice interface”, AIP Conf. Proc., 1982, 2018, 20036 , 6 pp.  mathnet  crossref  mathscinet  isi (cited: 1)  scopus
12. A. T. Il'ichev, “Envelope solitary waves at a water-ice interface: the case of positive initial tensions”, Mathematica Montisnigri, 43 (2018), 49–57  mathnet  mathscinet  isi

13. 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.  mathnet  crossref  mathscinet  isi (cited: 7)  scopus (cited: 9)
14. 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  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 2)  elib  elib  scopus (cited: 3)
15. A. T. Il'ichev, “Stability of solitary waves in membrane tubes: A weakly nonlinear analysis”, Theoret. and Math. Phys., 193:2 (2017), 1593–1601  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 5)  elib  scopus (cited: 5)

16. A. T. Il'ichev, “Solitary wave packets beneath a compressed ice cover”, Fluid Dyn., 51:3 (2016), 327–337  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 5)  elib  elib  scopus (cited: 3)
17. 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  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
18. 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  mathnet  crossref  crossref  mathscinet  isi (cited: 5)  elib  elib  scopus (cited: 3)
19. 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  mathnet  crossref  mathscinet  isi (cited: 1)  elib  elib  scopus

20. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 6)  elib  scopus (cited: 5)
21. 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  mathnet  crossref  isi (cited: 12)  elib (cited: 1)  scopus (cited: 14)
22. A. T. Il'ichev, A. P. Chugainova, V. A. Shargatov, “Spectral stability of special discontinuities”, Dokl. Math., 91:3 (2015), 347–351  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 8)  elib  scopus (cited: 8)
23. A. T. Il'ichev, “Envelope Solitary Waves and Dark Solitons at a Water–Ice Interface”, Proc. Steklov Inst. Math., 289 (2015), 152–166  mathnet  crossref  crossref  isi (cited: 8)  elib  scopus (cited: 4)
24. 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  mathnet (cited: 3)  crossref  mathscinet  isi (cited: 18)  elib (cited: 2)  scopus (cited: 20)
25. 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  mathnet
26. A. T. Il'ichev, “Soliton-like structures on a water-ice interface”, Russian Math. Surveys, 70:6 (2015), 1051–1103  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 14)  elib  scopus (cited: 8)

27. 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  mathnet  crossref  mathscinet  zmath  isi (cited: 14)  scopus (cited: 16)
28. 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  elib

29. 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  mathnet  crossref  crossref  mathscinet  isi  elib
30. A. T. Il'ichev, V. A. Shargatov, “Dynamics of vater evaporation fronts”, Comput. Math. Math. Phys., 53:9 (2013), 1350–1370  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 8)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 8)
31. 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  mathnet  crossref  elib
32. 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  mathnet  crossref  elib

33. 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  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib  scopus (cited: 1)
34. 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  mathnet  crossref  mathscinet  zmath  isi (cited: 18)  scopus (cited: 18)
35. 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  mathnet  crossref  mathscinet  isi (cited: 5)  elib  scopus (cited: 6)
36. A. T. Il'ichev, G. G. Tsypkin, “Stability of water-vapor phase transition in geothermal systems”, Fluid Dynamics, 47:4 (2012), 501–510  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)

37. 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  crossref  isi (cited: 3)  elib  scopus (cited: 3)

38. 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  crossref  mathscinet  zmath  isi (cited: 19)  elib (cited: 15)  scopus (cited: 19)

39. A. T. Ilichev, Ustoichivost lokalizovannykh voln v nelineino-uprugikh sterzhnyakh, Fizmatlit, M., 2009 , 159 pp.

40. 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  crossref  mathscinet  zmath  adsnasa  isi (cited: 18)  elib (cited: 10)  scopus (cited: 19)
41. 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  crossref  mathscinet  zmath  isi  elib  scopus
42. 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  crossref  mathscinet  zmath  isi
43. 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  crossref  mathscinet  zmath  isi (cited: 19)  elib (cited: 9)  scopus (cited: 18)
44. 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  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib (cited: 2)  scopus (cited: 2)
45. A. T. Il'ichev, G. G. Tsypkin, “Instabilities of uniform filtration flows with phase transition”, J. Exp. Theor. Phys., 107:4 (2008), 699–711  crossref  adsnasa  isi (cited: 19)  elib (cited: 8)  elib (cited: 8)  scopus (cited: 16)

46. 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  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 3)
47. A. T. Ilichev, G. G. Tsypkin, “Slabonelineinaya teoriya neustoichivosti dlinnovolnovykh vozmuschenii”, Dokl. RAN, 416:2 (2007), 192–194  mathnet (cited: 3)  zmath  elib (cited: 6)

48. 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  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
49. A. T. Il'ichev, “Instability of solitary waves on Euler's elastica”, Z. Angew. Math. Phys., 57:4 (2006), 547–566  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 4)
50. 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  crossref  mathscinet  zmath  isi (cited: 3)  elib (cited: 3)  scopus (cited: 3)

51. 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  crossref  mathscinet  zmath  isi (cited: 13)  elib (cited: 11)  scopus (cited: 12)
52. A. T. Il'ichev, “Stability Theory of the Euler Loop on Inextensible Elastic Rods”, Proc. Steklov Inst. Math., 251 (2005), 146–164  mathnet  mathscinet  zmath

53. A. T. Ilichev, “Neustoichivost solitonov v nerastyazhimykh sterzhnyakh”, Dokl. RAN, 397:3 (2004), 304–307  mathnet (cited: 1)  mathscinet  zmath
54. 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  crossref  mathscinet  zmath  adsnasa  isi (cited: 5)  elib (cited: 4)  scopus (cited: 5)
55. 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  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  scopus (cited: 4)
56. 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  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 2)  scopus (cited: 3)
57. G. Tsypkin, A. Il'ichev, “Gravitational stability of the interface in water over steam geothermal reservoirs”, Transp. Porous Media, 55:2 (2004), 183–199  crossref  mathscinet  isi (cited: 20)  elib (cited: 17)  scopus (cited: 19)
58. A. T. Ilichev, G. G. Tsypkin, “Kriterii gidrodinamicheskoi ustoichivosti sloya tyazheloi zhidkosti nad legkoi v geotermalnom rezervuare”, Dokl. RAN, 396:5 (2004), 615–619  mathnet

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  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 5)  scopus (cited: 4)
60. A. T. Ilichev, Uedinennye volny v modelyakh gidromekhaniki, Fizmatlit, 2003 , 256 pp.

61. A. T. Il'ichev, “Instability of waveguides in a liquid with surface effects”, Fluid Dynam., 37:6 (2002), 919–930  crossref  mathscinet  zmath  isi  elib  scopus
62. 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  mathscinet  zmath  elib
63. 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  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 4)  scopus (cited: 4)
64. 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  crossref  isi (cited: 2)  elib (cited: 3)  scopus (cited: 3)

65. 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)  crossref  mathscinet  zmath  isi  elib  scopus
66. 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  crossref  mathscinet  zmath  isi (cited: 14)  elib (cited: 11)  scopus (cited: 15)
67. A. Il'ichev, “Stability of solitary waves in nonlinear composite media”, Phys. D, 150:3-4 (2001), 264–277  crossref  mathscinet  zmath  isi (cited: 8)  elib (cited: 7)  scopus (cited: 7)
68. L. Brevdo, F. Il'ichev, “Multi-modal destabilization of a floating ice layer by wind stress”, Cold Reg. Sci. Technol., 33 (2001), 77–89  crossref  elib (cited: 9)  scopus (cited: 9)
69. G. G. Tsypkin, A. T. Ilichev, “Ustoichivost statsionarnogo fronta fazovykh perekhodov voda-par v gidrotermalnykh sistemakh”, Dokl. RAN, 378 (2001), 197–200  mathnet (cited: 1)

70. A. A. Zharkov, A. T. Il'ichev, “Solitary waves in a collisionless plasma with isothermal pressure”, Fluid Dynam., 35:5 (2000), 738–747  crossref  mathscinet  zmath  elib
71. A. T. Il'ichev, “Solitary waves in media with dispersion and dissipation (a review)”, Fluid Dynam., 35:2 (2000), 157–176  crossref  mathscinet  zmath  adsnasa  elib (cited: 10)  scopus (cited: 16)
72. 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  crossref  scopus
73. A. T Ilichev, “Ustoichivost solitonov v nelineinykh kompozitnykh sredakh”, ZhETF, 118 (2000), 720–729

74. 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  crossref  mathscinet  zmath  isi (cited: 7)  elib (cited: 7)  scopus (cited: 8)
75. I. Bakholdin, A. Il'ichev, “Solitary wave decay in non-linear Faraday resonance”, Eur. J. Mech. B Fluids, 18:1 (1999), 93–102  crossref  mathscinet  zmath  isi  elib (cited: 1)  scopus (cited: 1)

76. 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  mathscinet  zmath
77. 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  crossref  mathscinet  zmath  isi (cited: 29)  elib (cited: 28)  scopus (cited: 32)
78. A. Il'ichev, “Faraday resonance: asymptotic theory of surface waves”, Phys. D, 119:3-4 (1998), 327–351  crossref  mathscinet  zmath  isi (cited: 3)  elib (cited: 5)  scopus (cited: 5)
79. L. Brevdo, A. Il'ichev, “Exponential neutral stability of a floating ice layer”, Z. Angew. Math. Phys., 49:3 (1998), 401–419  crossref  mathscinet  zmath  isi (cited: 6)  scopus (cited: 6)
80. I. Bakholdin, A. Il'ichev, “Solitary-wave decay in a cold plasma”, J. Plasma Physics, 60 (1998), 569–580  crossref  mathscinet  isi (cited: 7)  scopus (cited: 9)

81. A. T. Il'ichev, “Solitary and generalized solitary waves in dispersive media”, J. Appl. Math. Mech., 61:4 (1997), 587–600  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 3)
82. 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  crossref  mathscinet  zmath  isi (cited: 5)  scopus (cited: 6)

83. 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  crossref  mathscinet  zmath
84. A. Beliaev, A. Il'ichev, “Conditional stability of solitary waves propagating in elastic rods”, Phys. D, 90:1-2 (1996), 107–118  crossref  mathscinet  zmath  isi (cited: 10)  elib (cited: 10)  scopus (cited: 12)
85. A. T. Il'ichev, “Solitary waves in a cold plasma”, Math. Notes, 59:5 (1996), 518–524  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)
86. A. T. Ilichev, “Uedinennye volny-pakety v kholodnoi plazme”, Izv. RAN. MZhG, 1996, no. 5, 154–161  zmath
87. A. T. Il'ichev, “Steady waves in a cold plasma”, J. Plasma Physics, 55 (1996), 181–194  crossref  isi (cited: 9)  scopus (cited: 12)

88. 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  mathscinet  zmath
89. 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
90. A. T. Il'ichev, “The existence of solitary waves in dispersive media”, BRAS Physics/Supplement Physics of Vibrations, 59:2 (1995), 88–97
91. 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

92. A. T. Il'ichev, “Existence of a family of soliton-like solutions for the Kawahara equation”, Math. Notes, 52:1 (1992), 662–668  mathnet  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)
93. 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  crossref  zmath  scopus (cited: 39)

94. 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)  mathnet  mathscinet  zmath  adsnasa  isi
95. 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.  mathscinet  zmath

96. A. T. Il'ichev, “Theory of nonlinear waves described by fifth-order evolution equations”, Fluid Dynam., 25:2 (1990), 247–252  crossref  mathscinet  adsnasa  scopus (cited: 2)

97. 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  crossref  mathscinet  zmath  adsnasa  scopus (cited: 10)
98. 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  mathscinet

99. 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  mathnet  mathscinet  zmath

100. 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  mathscinet
101. 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)  mathscinet

102. A. T. Ilichev, “The Sturm-Liouville problem for stationary axisymmetric gravitational fields”, Dokl. AN SSSR, 291:1 (1986), 67–71  mathnet  mathscinet  adsnasa  isi
103. 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

104. A. T. Ilichev, N. R. Sibgatullin, “Mathematical construction of multivalent solutions in general relativity theory”, Dokl. AN SSSR, 282:5 (1985), 1098–1103  mathnet  mathscinet  adsnasa  isi
105. 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  mathnet  mathscinet  mathscinet  adsnasa  isi

106. A. T. Ilichev, “Static soliton solutions of Einstein-Maxwell equations”, Dokl. AN SSSR, 278:1 (1984), 82–85  mathnet  mathscinet  adsnasa  isi
107. A. T. Il'ichev, “Static soliton solutions of Einstein–Maxwell equations”, Dokl. Akad. Nauk SSSR, 278:1 (1984), 82–85  mathnet  mathscinet

Presentations in Math-Net.Ru
1. 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   
2. Волновые структуры на поверхности раздела вода-лед
A. T. Il'ichev
Seminar of the Department of Mechanics
May 21, 2018 12:00
3. 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   
4. Solitons in elastic shells
A. T. Il'ichev
Steklov Mathematical Institute Seminar
January 28, 2010 16:00   
5. Stability of solitons in elastic composite media
A. T. Il'ichev
Steklov Mathematical Institute Seminar
May 17, 2001

Books in Math-Net.Ru
  1. Modern problems and methods in mechanics, Collected papers. On the occasion of the 110th anniversary of the birth of Academician Leonid Ivanovich Sedov, Tr. Mat. Inst. Steklova, 300, ed. A. G. Kulikovskii, A. T. Il'ichev, A. P. Chugainova, 2018, 239 с.

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