Classical and non-classical discontinuities in solutions of equations of non-linear elasticity theory AG Kulikovskii, AP Chugainova Russian Mathematical Surveys 63 (2), 283, 2008 | 37 | 2008 |
Simulation of the influence of small-scale dispersion processes in a continuum on the formation of large-scale phenomena AG Kulikovskii, AP Chugainova Computational Mathematics and Mathematical Physics 44 (6), 1062-1068, 2004 | 32* | 2004 |
Problem of arbitrary discontinuity disintegration for the generalized Hopf equation: selection conditions for a unique solution AP Chugainova, AT Il’ichev, AG Kulikovskii, VA Shargatov IMA Journal of Applied Mathematics 82 (3), 496-525, 2017 | 31 | 2017 |
Stability of nonstationary solutions of the generalized KdV-Burgers equation AP Chugainova, VA Shargatov Computational Mathematics and Mathematical Physics 55, 251-263, 2015 | 23 | 2015 |
Stability of discontinuity structures described by a generalized KdV–Burgers equation AP Chugainova, VA Shargatov Computational Mathematics and Mathematical Physics 56, 263-277, 2016 | 21 | 2016 |
Spectral stability of special discontinuities. A Il'ichev, A Chugainova, V Shargatov Doklady Mathematics 91 (3), 2015 | 21 | 2015 |
Nonstationary solutions of a generalized Korteweg-de Vries-Burgers equation AP Chugainova Proceedings of the Steklov Institute of Mathematics 281 (1), 204-212, 2013 | 21 | 2013 |
Uniqueness of self-similar solutions to the Riemann problem for the Hopf equation with complex nonlinearity AG Kulikovskii, AP Chugainova, VA Shargatov Computational Mathematics and Mathematical Physics 56, 1355-1362, 2016 | 19 | 2016 |
The formation of a selfsimilar solution for the problem of non-linear waves in an elastic half-space AP Chugainova Journal of Applied Mathematics and Mechanics 52 (4), 541-545, 1988 | 15 | 1988 |
Traveling waves and undercompressive shocks in solutions of the generalized Korteweg–de Vries–Burgers equation with a time-dependent dissipation coefficient distribution AP Chugainova, VA Shargatov The European Physical Journal Plus 135 (8), 1-18, 2020 | 14 | 2020 |
Study of discontinuities in solutions of the Prandtl–Reuss elastoplasticity equations AG Kulikovskii, AP Chugainova Computational Mathematics and Mathematical Physics 56, 637-649, 2016 | 13 | 2016 |
Special discontinuities in nonlinearly elastic media AP Chugainova Computational Mathematics and Mathematical Physics 57, 1013-1021, 2017 | 12 | 2017 |
Asymptotic behavior of nonlinear waves in elastic media with dispersion and dissipation AP Chugainova Theoretical and mathematical physics 147, 646-659, 2006 | 12 | 2006 |
Longitudinal and torsional shock waves in anisotropic elastic cylinders AP Chugainova, AG Kulikovskii Zeitschrift für angewandte Mathematik und Physik 71, 1-15, 2020 | 10 | 2020 |
Analytical description of the structure of special discontinuities described by a generalized KdV–Burgers equation AP Chugainova, VA Shargatov Communications in Nonlinear Science and Numerical Simulation 66, 129-146, 2019 | 10 | 2019 |
Self-similar asymptotics of wave problems and the structures of non-classical discontinuities in non-linearly elastic media with dispersion and dissipation AP Chugainova Journal of applied mathematics and mechanics 71 (5), 701-711, 2007 | 10 | 2007 |
On the nonuniqueness of solutions to the nonlinear equations of elasticity theory AG Kulikovskii, AP Chugainova, EI Sveshnikova Journal of engineering mathematics 55, 97-110, 2006 | 10 | 2006 |
Stability analysis of traveling wave solutions of a generalized Korteweg–de Vries–Burgers equation with variable dissipation parameter VA Shargatov, AP Chugainova Journal of Computational and Applied Mathematics 397, 113654, 2021 | 9 | 2021 |
Stability of shock wave structures in nonlinear elastic media AP Chugainova, AT Il’ichev, VA Shargatov Mathematics and Mechanics of Solids 24 (11), 3456-3471, 2019 | 9 | 2019 |
Mathematical methods for studying discontinuous solutions of nonlinear hyperbolic systems of equations AG Kulikovskii, EI Sveshnikova, AP Chugainova Lektsionnye Kursy NOC 16, 3-120, 2010 | 9 | 2010 |