Symmetry reduced and new exact non-traveling wave solutions of potential Kadomtsev-Petviashvili equation with \(p\)-power

DOI10.1016/J.AMC.2009.05.002zbMath1203.35250OpenAlexW4246140975MaRDI QIDQ609260

Da-Quan Xian, Han Lin Chen

Publication date: 30 November 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.05.002

zbMATH Keywords

auxiliary equationLie group methodexact non-traveling wave solutionhomoclinic test techniquePKP\(p\) equationsymmetry reduced

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Traveling wave solutions (35C07)

Related Items (1)

Saddle-node heteroclinic orbit and exact nontraveling wave solutions for \((2 + 1)D\) KdV-Burgers equation

Uses Software

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Cites Work

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