Symmetries, Conservation Laws, Invariant Solutions and Difference Schemes of the One-dimensional Green-Naghdi Equations

DOI10.2991/jnmp.k.200922.007zbMath1497.65120arXiv2008.12852OpenAlexW3111760081MaRDI QIDQ5099972

Vladimir Dorodnitsyn, E. I. Kaptsov, Sergey V. Meleshko

Publication date: 26 August 2022

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.12852

zbMATH Keywords

conservation lawsLie groupinvariant solutionsgroup classificationinvariant difference schemes

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Symmetries, invariants, etc. in context of PDEs (35B06) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

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