Lie symmetries and dynamical behavior of soliton solutions of KP-BBM equation

DOI10.1007/s12346-021-00557-8zbMath1482.35026OpenAlexW4206941022MaRDI QIDQ2073379

Atul Kumar Ray, Dig Vijay Tanwar, Anand Chauhan

Publication date: 2 February 2022

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-021-00557-8

zbMATH Keywords

invariant solutionssymmetry reductionsBenjamin-Bona-Mahony (BBM) equationLie symmetry methodKadomtsov-Petviashvili (KP) equation

Mathematics Subject Classification ID

Initial value problems for nonlinear higher-order PDEs (35G25) Soliton solutions (35C08) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (5)

New analytic solutions for fluid flow equations in higher dimensions around an offshore structure describing bidirectional wave surfaces ⋮ Lie-Bäcklund symmetry generators and a variety of novel periodic-soliton solutions to the complex-mode of modified Korteweg-de Vries equation ⋮ Studies on a three-field lattice system: \(N\)-fold Darboux transformation, conservation laws and analytic solutions ⋮ Lie symmetries and exact solutions of KdV-Burgers equation with dissipation in dusty plasma ⋮ Symbolically computing the shallow water via a \((2+1)\)-dimensional generalized modified dispersive water-wave system: similarity reductions, scaling and hetero-Bäcklund transformations

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