| Shallow water equations in Lagrangian coordinates: Symmetries, conservation laws and its preservation in difference models VA Dorodnitsyn, EI Kaptsov Communications in Nonlinear Science and Numerical Simulation 89, 105343, 2020 | 32 | 2020 |
| Invariant conservation law-preserving discretizations of linear and nonlinear wave equations AF Cheviakov, VA Dorodnitsyn, EI Kaptsov Journal of Mathematical Physics 61 (8), 2020 | 28 | 2020 |
| Analysis of the one-dimensional Euler–Lagrange equation of continuum mechanics with a Lagrangian of a special form EI Kaptsov, SV Meleshko Applied Mathematical Modelling 77, 1497-1511, 2020 | 26 | 2020 |
| Symmetries, conservation laws, invariant solutions and difference schemes of the one-dimensional Green-Naghdi equations VA Dorodnitsyn, EI Kaptsov, SV Meleshko Journal of Nonlinear Mathematical Physics 28 (1), 90-107, 2021 | 23 | 2021 |
| The adjoint equation method for constructing first integrals of difference equations V Dorodnitsyn, E Kaptsov, R Kozlov, P Winternitz Journal of Physics A: Mathematical and Theoretical 48 (5), 055202, 2015 | 22 | 2015 |
| Discrete shallow water equations preserving symmetries and conservation laws VA Dorodnitsyn, EI Kaptsov Journal of Mathematical Physics 62 (8), 2021 | 20 | 2021 |
| Conservation laws of the two-dimensional gas dynamics equations EI Kaptsov, SV Meleshko International Journal of Non-Linear Mechanics 112, 126-132, 2019 | 19 | 2019 |
| First integrals of difference equations which do not possess a variational formulation P Winternitz, VA Dorodnitsyn, EI Kaptsov, RV Kozlov Doklady Mathematics 89, 106-109, 2014 | 14 | 2014 |
| One-dimensional MHD flows with cylindrical symmetry: Lie symmetries and conservation laws VA Dorodnitsyn, EI Kaptsov, RV Kozlov, SV Meleshko International Journal of Non-Linear Mechanics 148, 104290, 2023 | 13 | 2023 |
| Conservative invariant finite‐difference schemes for the modified shallow water equations in Lagrangian coordinates EI Kaptsov, VA Dorodnitsyn, SV Meleshko Studies in Applied Mathematics 149 (3), 729-761, 2022 | 11 | 2022 |
| Lie group symmetry analysis and invariant difference schemes of the two-dimensional shallow water equations in Lagrangian coordinates VA Dorodnitsyn, EI Kaptsov, SV Meleshko Communications in Nonlinear Science and Numerical Simulation 119, 107119, 2023 | 9 | 2023 |
| Plane one-dimensional MHD flows: Symmetries and conservation laws VA Dorodnitsyn, EI Kaptsov, RV Kozlov, SV Meleshko, P Mukdasanit International Journal of Non-Linear Mechanics 140, 103899, 2022 | 9 | 2022 |
| The one-dimensional Green–Naghdi equations with a time dependent bottom topography and their conservation laws EI Kaptsov, SV Meleshko, NF Samatova Physics of Fluids 32 (12), 2020 | 8 | 2020 |
| Discretization of second-order ordinary differential equations with symmetries VA Dorodnitsyn, EI Kaptsov Computational Mathematics and Mathematical Physics 53, 1153-1178, 2013 | 8 | 2013 |
| Invariant finite-difference schemes for plane one-dimensional MHD flows that preserve conservation laws V Dorodnitsyn, E Kaptsov Mathematics 10 (8), 1250, 2022 | 7 | 2022 |
| Численная реализация инвариантной схемы для одномерных уравнений мелкой воды в лагранжевых координатах ЕИ Капцов Препринты Института прикладной математики им. МВ Келдыша РАН, 108-28, 2019 | 6 | 2019 |
| First integrals of ordinary difference equations beyond Lagrangian methods V Dorodnitsyn, E Kaptsov, R Kozlov, P Winternitz arXiv preprint arXiv:1311.1597, 2013 | 6 | 2013 |
| Symmetry Analysis of the Two-Dimensional Stationary Gas Dynamics Equations in Lagrangian Coordinates SV Meleshko, EI Kaptsov Mathematics 12 (6), 879, 2024 | 4 | 2024 |
| Invariant finite-difference schemes for cylindrical one-dimensional MHD flows with conservation laws preservation EI Kaptsov, VA Dorodnitsyn, SV Meleshko Communications in Nonlinear Science and Numerical Simulation 126, 107514, 2023 | 4 | 2023 |
| Symmetries and conservation laws of the one-dimensional shallow water magnetohydrodynamics equations in Lagrangian coordinates EI Kaptsov, SV Meleshko, VA Dorodnitsyn Journal of Physics A: Mathematical and Theoretical 55 (49), 495202, 2022 | 4 | 2022 |
Vladimir A. DorodnitsynKeldysh Institute of Applied Mathematics, Russian Academy of Sciences在 keldysh.ru 的电子邮件经过验证
