A. G. Kulikovskii, A. P. Chugainova, “Classical and non-classical discontinuities in solutions of equations of non-linear elasticity theory”, Russian Math. Surveys, 63:2 (2008), 283–350
A. P. Chugaĭnova, “Formation of a self-similar solution in a problem of nonlinear waves in an elastic semispace”, J. Appl. Math. Mech., 52:4 (1988), 541–545
R. R. Polekhina, A. P. Chugainova, “Undercompressive discontinuities of a hyperbolic system of conservation law equations: finite-difference schemes”, Comput. Math. Math. Phys., 65:5 (2025), 1026–1036
2.
A. P. Chugainova, R. R. Polekhina, “Admissibility of discontinuities in the solutions of a hyperbolic $2 \times 2$ system of conservation laws”, Int. J. Non-Linear Mech., 178 (2025), 105174 , 11 pp.
3.
A. T. Il'ichev, A. P. Chugainova, Zh. Vychisl. Mat. Mat. Fiz., 65:5 (2025), 605–607
2024
4.
A. P. Chugainova, R. R. Polekhina, “Conditions for the decay of a wave into a system of waves in a viscoelastic medium with a negative nonlinearity parameter”, Int. J. Non-Linear Mech., 158 (2024), 104590 , 7 pp.
Vladimir A. Shargatov, Anna P. Chugainova, Georgy V. Kolomoitsev, Irik I. Nasyrov, Anastasia M. Tomasheva, Sergey V. Gorkunov, Polina I. Kozhurina, “Why stable finite-difference schemes can converge to different solutions: analysis for the generalized hopf equation”, Computation, 12:4 (2024), 76 , 15 pp.
A. P. Chugainova, “On the Uniqueness of a Self-similar Solution to the Riemann Problem for Longitudinal–Torsional Waves in Nonlinear Elastic Rods”, Proc. Steklov Inst. Math., 327 (2024), 313–320
8.
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.
9.
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
2023
10.
V. A. Shargatov, A. P. Chugainova, A. M. Tomasheva, “Structures of Classical and Special Discontinuities for the Generalized Korteweg–de Vries–Burgers Equation in the Case of a Flux Function with Four Inflection Points”, Proc. Steklov Inst. Math., 322 (2023), 257–272
11.
A. P. Chugainova, R. R. Polekhina, “Nonuniqueness of a Self-similar Solution to the Riemann Problem for Elastic Waves in Media with a Negative Nonlinearity Parameter”, Proc. Steklov Inst. Math., 322 (2023), 242–256
12.
A. G. Kulikovskii, A. P. Chugainova, “Longitudinal–Torsional Waves in Nonlinear Elastic Rods”, Proc. Steklov Inst. Math., 322 (2023), 151–160
13.
A. P. Chugainova, A. G. Kulikovskii, “Structures of longitudinal-torsional shock waves and special discontinuities in nonlinearly viscoelastic media with dispersion”, Contin. Mech. Thermodyn., 35 (2023), 1655–1669
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.
15.
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
2022
16.
A. G. Kulikovskii, A. P. Chugainova, “Structures of non-classical discontinuities in solutions of hyperbolic systems of equations”, Russian Math. Surveys, 77:1 (2022), 47–79
17.
V. A. Shargatov, A. P. Chugainova, G. V. Kolomiytsev, “Global stability of traveling wave solutions of generalized Korteveg–de Vries–Burgers equation with non-constant dissipation parameter”, J. Comput. Appl. Math., 412 (2022), 114354 , 18 pp.
A. P. Chugainova, R. R. Polekhina, “The effect of small-scale processes in the structure of discontinuities on the solution of the Riemann problem”, Wave Motion, 114 (2022), 102996 , 11 pp.
A. P. Chugainova, “Special discontinuities in nonlinear elastic rods”, AIP Conf. Proc., 2522, 2022, 060004 , 5 pp.
20.
A. P. Chugainova, G. V. Kolomoiytsev, V. A. Shargatov, “On the Instability of Monotone Traveling-Wave Solutions for a Generalized Korteweg-–de Vries-–Burgers Equation”, Russ. J. Math. Phys., 29 (2022), 342–357
A. P. Chugainova, A. G. Kulikovskii, “Shock waves in an incompressible anisotropic elastoplastic medium with hardening and their structures”, Appl. Math. Comput., 401 (2021), 126077 , 11 pp.
A. G. Kulikovskii, A. P. Chugainova, “Discontinuity structures of equation solutionsdescribing longitudinal-torsional waves in elastic rods”, Doklady RAN. Fiz. Tekhn. Nauki, 497:1 (2021), 49–52
23.
V. A. Shargatov, A. P. Chugainova, “Stability analysis of traveling wave solutions of a generalized Korteweg–de Vries–Burgers equation with variable dissipation parameter”, J. Comput. Appl. Math., 397 (2021), 113654 , 17 pp.
A. P. Chugainova, A. G. Kulikovskii, “Longitudinal and torsional shock waves in anisotropic elastic cylinders”, Z. Angew. Math. Phys., 71:1 (2020), 17 , 15 pp. https://rdcu.be/b2bXP
A. G. Kulikovskii, A. P. Chugainova, “Simple One-Dimensional Waves in an Incompressible Anisotropic Elastoplastic Medium with Hardening”, Proc. Steklov Inst. Math., 310 (2020), 175–184
26.
A. P. Chugainova, V. A. Shargatov, “Traveling waves and undercompressive shocks in solutions of the generalized Korteweg–de Vries–Burgers equation with a time-dependent dissipation coefficient distribution”, Eur. Phys. J. Plus, 135:8 (2020), 1–18
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
28.
A. P. Chugainova, “Special discontinuities depending on dispersion processes”, AIP Conf. Proc., 2302, no. 1, 2020, 100002 , 5 pp.
2019
29.
A.P. Chugainova, V.A. Shargatov, “Analytical description of the structure of special discontinuities described by a generalized KdV–Burgers equation”, Commun. Nonlinear Sci. Numer. Simul., 66 (2019), 129–146
A. P. Chugainova, A. T. Ilichev, V. A. Shargatov, “Stability of shock wave structures in nonlinear elastic media”, Math. Mech. Solids, 24(II) (2019), 3456–3471
A. G. Kulikovskii, A. T. Il'ichev, A. P. Chugainova, V. A. Shargatov, “Spontaneously radiating shock waves”, Doklady Physics, 64:7 (2019), 293–296
32.
Anna Chugaynova, “Uniqueness of self-similar solutions obeying the problems of arbitrary discontinuity disintegration for the generalized Hopf equation”, 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation. Book of Abstracts (TU Wien, Wien, Austria, 26/08/19 - 30/08/19), eds. Kaltenbacher, Manfred; Melenk, J. Markus; Nannen, Lothar; Toth, Florian, TU Wien, Wien, Austria, 2019, 342-343https://repositum.tuwien.ac.at/obvutwoa/download/pdf/4117715
33.
Chugainova A.P., “Osobye razryvy v modelyakh mekhaniki sploshnoi sredy”, Fizika geosfer, Odinnadtsatyi Vserossiiskii simpozium “Fizika geosfer” (Vladivostok, 9-14 sentyabrya 2019), eds. G.I. Dolgikh, TOI DVO RAN, Vladivostok, 2019, 489-492
34.
A. P. Chugainova, V. A. Shargatov, “Study of nonstationary solutions of a generalized Korteweg-de Vries-Burgers equation”, AIP Conf. Proc., 2164, 2019, 050002 , 8 pp.
A. G. Kulikovskii, A. P. Chugainova, “Shock Waves in Anisotropic Cylinders”, Proc. Steklov Inst. Math., 300 (2018), 100–113
36.
V. A. Shargatov, A. P. Chugainova, S. V. Gorkunov, S. I. Sumskoi, “Flow Structure behind a Shock Wave in a Channel with Periodically Arranged Obstacles”, Proc. Steklov Inst. Math., 300 (2018), 206–218
37.
Shargatov V.A., Chugainova A.P., “Ustoichivost struktury udarnykh voln i edinstvennost resheniya zadachi Rimana dlya obobschennogo uravneniya Khopfa”, Nelineinye zadachi teorii gidrodinamicheskoi ustoichivosti i turbulentnost, Materialy XXIII Mezhdunarodnoi konferentsii. (Moskva), eds. N.V. Nikitin, N.V. Popelenskaya, 2018, 345
38.
V. A. Shargatov, A. P. Chugainova, S. V. Gorkunov, S. I. Sumskoi, “Analytical and numerical solutions of the shock tube problem in a channel with a pseudo-perforated wall”, JPCS, 1099 (2018), 12013 , 8 pp.
Anna Chugaynova, “Special discontinuities in models of continuum mechanics”, MATEC Web Conf., 211 (2018), 4002 , 5 pp.
40.
A. P. Chugainova, V. A. Shargatov, S. V. Gorkunov, S. I. Sumskoi, “Regimes of shock wave propagation through comb-shaped obstacles”, AIP Conf. Proc., 2025, 2018, 080002
41.
Kulikovskii A.G., Chugainova A.P., “Prodolnye i krutilnye volny v anizotropnykh tsilindrakh”, Volny i vikhri v slozhnykh sredakh.9-aya mezhdunarodnaya konferentsiya - shkola molodykh uchenykh. Sbornik materialov shkoly. (Moskva, 05-07 dekabrya 2018 g.), Premium-print, 2018, 97
42.
Chugainova Anna, “Special discontinuities in models of continuum mechanics”, Potoki i struktury v zhidkostyakh. Materialy konferentsii 19-oi mezhdunarodnoi konferentsii (Vladivostok, 08-10 avgusta 2018 g.), 2018, 58
43.
Kulikovskii A.G., Chugainova A.P., “Nonlinear waves in anisotropic cylinders”, Potoki i struktury v zhidkostyakh. Materialy konferentsii 19-oi mezhdunarodnoi konferentsii (Vladivostok, 08-10 avgusta 2018 g.), 2018, 134
44.
Chugaynova, A, “Nonlinear waves in dispersive viscous media”, 25th International Congress on Sound and Vibration 2018, ICSV 2018: Hiroshima Calling (08-12 July, Hiroshima, Japan), v. 4, International Institute of Acoustics and Vibration, IIAV, 2018, 2087–2092
45.
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.
2017
46.
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
A. P. Chugainova, “Special discontinuities in nonlinearly elastic media”, Comput. Math. Math. Phys., 57:6 (2017), 1013–1021
48.
A. Chugaynova, “Special discontinuities in models of continuum mechanics”, Proceedings of the 17th International Conference on Computational and Mathematical Methods in Science and Engineering (Costa Ballena, Rota, Cadiz (Spain) Juliy 4–8, 2017), v. 2, Almería, 2017, 586–591Proceedings CMMSE 2017
49.
A. G. Kulikovskii, A. P. Chugainova, “Long nonlinear waves in anisotropic cylinders”, Comput. Math. Math. Phys., 57:7 (2017), 1194–1200
2016
50.
A. P. Chugainova, V. A. Shargatov, “Stability of discontinuity structures described by a generalized KdV–Burgers equation”, Comput. Math. Math. Phys., 56:2 (2016), 263–277
51.
A. G. Kulikovskii, A. P. Chugainova, “Study of discontinuities in solutions of the Prandtl-Reuss elastoplasticity equations”, Comput. Math. Math. Phys., 56:4 (2016), 637–649
52.
A. G. Kulikovskii, A. P. Chugainova, “A self-similar wave problem in a Prandtl–Reuss elastoplastic medium”, Proc. Steklov Inst. Math., 295 (2016), 179–189
53.
A. G. Kulikovskii, A. P. Chugainova, V. A. Shargatov, “Uniqueness of self-similar solutions to the Riemann problem for the Hopf equation with complex nonlinearity”, Comput. Math. Math. Phys., 56:7 (2016), 1355–1362
54.
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
2015
55.
A. P. Chugainova, V. A. Shargatov, “Stability of nonstationary solutions of the generalized KdV-Burgers equation”, Comput. Math. Math. Phys., 55:2 (2015), 251–263
56.
A. T. Il'ichev, A. P. Chugainova, V. A. Shargatov, “Spectral stability of special discontinuities”, Dokl. Math., 91:3 (2015), 347–351
57.
A. G. Kulikovskii, A. P. Chugainova, “Shock Waves in Elastoplastic Media with the Structure Defined by the Stress Relaxation Process”, Proc. Steklov Inst. Math., 289 (2015), 167–182
58.
A. G. Kulikovskii, A. P. Chugainova, “Struktura uprugoplasticheskikh udarnykh voln”, KhI Vserossiiskii s'ezd po fundamentalnym problemam teoreticheskoi i prikladnoi mekhaniki, Kazan, 20–24 avgusta 2015 g., Kazanskii (Privolzhskii) federalnyi universitet, Kazan, 2015, 2173–2174
59.
A. P. Chugainova, V. A. Shargatov, A. V. Krivosheev, “Ustoichivost nestatsionarnykh reshenii obobschennogo uravneniya Kortevega–de Vriza–Byurgersa”, Nauchnaya sessiya NIYaU MIFI-2015 (Moskva, 16–20 fevralya 2015 g.), Natsionalnyi issledovatelskii yadernyi universitet «MIFI», M., 2015, 239
2013
60.
A. P. Chugainova, “Nonstationary Solutions of a Generalized Korteweg–de Vries–Burgers Equation”, Proc. Steklov Inst. Math., 281 (2013), 204–212
61.
“The overturning of Riemann waves in elastoplastic media with hardening”, J. Appl. Math. Mech., 77:4 (2013), 350–359
62.
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
2012
63.
A. G. Kulikovskii, A. P. Chugainova, “Classical and nonclassical discontinuities and their structures in nonlinear elastic media with dispersion and dissipation”, Proceedings of the Steklov Institute of Mathematics, 276, Suppl. 2 (2012), 1–68; A. G. Kulikovskii, A. P. Chugainova, Klassicheskie i neklassicheskie razryvy i ikh struktury v nelineino-uprugikh sredakh s dispersiei i dissipatsiei, Sovr. probl. matem., 7, MIAN, M., 2007 , 150 pp.
A. G. Kulikovskii, E. I. Sveshnikova, A. P. Chugainova, Matematicheskie metody izucheniya razryvnykh reshenii nelineinykh giperbolicheskikh sistem uravnenii, Lekts. kursy NOTs, 16, MIAN, M., 2010 , 122 pp.
A. G. Kulikovskii, A. P. Chugainova, “O statsionarnoi strukture udarnykh voln v uprugikh sredakh i dielektrikakh”, ZhETF, 137:5 (2010), 973–985
13
66.
A. G. Kulikovskii, A. P. Chugainova, “Self-similar asymptotics describing nonlinear waves in elastic media with dispersion and dissipation”, Comput. Math. Math. Phys., 50:12 (2010), 2145–2156
2009
67.
A. G. Kulikovskii, A. P. Chugainova, “On solution non-uniqueness in the nonlinear elasticity theory”, Reviews on Advanced Materials Science, 19:1/2 (2009), 93–98
2008
68.
A. G. Kulikovskii, A. P. Chugainova, “Classical and non-classical discontinuities in solutions of equations of non-linear elasticity theory”, Russian Math. Surveys, 63:2 (2008), 283–350
2007
69.
A. P. Chugaĭnova, “Self-similar asymptotics of wave problems, and the structures of nonclassical discontinuities in nonlinearly elastic media with dispersion and”, J. Appl. Math. Mech., 71:5 (2007), 701–711
2006
70.
A. G. Kulikovskii, A. P. Chugainova, E. I. Sveshnikova, “On the nonuniqueness of solutions to the nonlinear equations of elasticity theory”, J. Engrg. Math., 55:1-4 (2006), 97–110
A. P. Chugainova, “Asymptotic behavior of nonlinear waves in elastic media with dispersion and dissipation”, Theoret. and Math. Phys., 147:2 (2006), 646–659
2005
72.
A. G. Kulikovskii, E. I. Sveshnikova, A. P. Chugainova, “Some Problems in Nonlinear Dynamic Elasticity”, Proc. Steklov Inst. Math., 251 (2005), 165–191
2004
73.
A. G. Kulikovskii, A. P. Chugainova, “Modeling the influence of small-scale dispersion processes in a continuum on the formation of large-scale phenomena”, Comput. Math. Math. Phys., 44:6 (2004), 1062–1068
2002
74.
A. G. Kulikovskii, A. P. Chugainova, “Ob ustoichivosti k dvumernym vozmuscheniyam metastabilnoi udarnoi volny v vyazkouprugoi srede”, PMM, 66:1 (2002), 109–117
6
75.
A. G. Kulikovskii, E. I. Sveshnikova, A. P. Chugainova, “On nonuniqueness of solutions in the nonlinear theory of elasticity”, Modeli mekhaniki sploshnoi sredy, Obzornye doklady i lektsii XVI sessii mezhd. shkoly po modelyam mekhaniki sploshnoi sredy (Kazan, 2002), Tr. Matem. tsentra im. N. I. Lobachevskogo, 16, Izd-vo Kazan. matem. ob-va, Kazan, 2002, 6–25
76.
A. A. Barmin, A. P. Chugainova, “Interaction between a slow magnetohydrodynamic shock wave and a tangential discontinuity”, Fluid Dynam., 37:6 (2002), 960–969
2000
77.
A. G. Kulikovskii, A. P. Chugainova, “Ob ustoichivosti kvazipoperechnykh udarnykh voln v anizotropnykh uprugikh sredakh”, PMM, 64:6 (2000), 1020–1026
4
1999
78.
A. P. Chugaĭnova, “On the existence of Riemann invariants in one-dimensional equations of the nonlinear theory of elasticity”, J. Appl. Math. Mech., 63:4 (1999), 627–632
1998
79.
A. G. Kulikovskii, A. P. Chugainova, “Disintegration conditions for a nonlinear wave in a viscoelastic medium”, Comput. Math. Math. Phys., 38:2 (1998), 305–312
1996
80.
N. I. Gvozdovskaya, A. G. Kulikovskii, E. I. Sveshnikova, A. P. Chugainova, “Nelineinye volny v tverdykh telakh”, Vestnik Moskovskogo universiteta. Seriya 1. Matematika, mekhanika, 1996, no. 6, 12–19
1993
81.
A. P. Chugaĭnova, “A self-similar problem on the action of a traveling load on the boundary of a non-linearly elastic weakly anisotropic half-space”, J. Appl. Math. Mech., 57:3 (1993), 503–510
82.
A. P. Chugaĭnova, “On the interaction of nonlinear waves in a weakly anisotropic viscoelastic medium”, J. Appl. Math. Mech., 57:2 (1993), 375–381
83.
A. P. Chugainova, “O perestroike nelineinoi uprugoi volny v srede s maloi anizotropiei”, Izvestiya RAN. Mekhanika tverdogo tela, 1993, no. 5, 75–81
1991
84.
A. P. Chugaĭnova, “Steady quasitransversal ordinary and shock waves in a weakly anisotropic nonlinearly elastic medium”, J. Appl. Math. Mech., 55:3 (1991), 396–401 (1992)
1990
85.
A. P. Chugainova, “O vykhode nelineinykh voln na avtomodelnyi rezhim v zadache o deistvii vnezapnogo izmeneniya nagruzki na granitsu uprugogo poluprostranstva”, Izvestiya AN SSSR. Mekhanika tverdogo tela, 25:3 (1990), 187–189
1988
86.
A. P. Chugaĭnova, “Formation of a self-similar solution in a problem of nonlinear waves in an elastic semispace”, J. Appl. Math. Mech., 52:4 (1988), 541–545
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
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
A. G. Kulikovskii, E. I. Sveshnikova, A. P. Chugainova, Mathematical methods for studying discontinuous solutions of nonlinear hyperbolic systems of equations, Lekts. Kursy NOC, 16, 2010, 122 с. http://mi.mathnet.ru/book1249
A. G. Kulikovskii, A. P. Chugainova, Classical and Nonclassical Discontinuities and Their Structure in Nonlinear Elastic Media with Dispersion and Dissipation, Sovrem. Probl. Mat., 7, 2007, 150 с. http://mi.mathnet.ru/book470
2025