Kink-like wave and compacton-like wave solutions for generalized KdV equation

DOI10.1007/s11071-014-1710-9zbMath1345.37072OpenAlexW2075650902MaRDI QIDQ493923

Shaoyong Li, Zheng-Rong Liu

Publication date: 7 September 2015

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-014-1710-9

zbMATH Keywords

solitary waveperiodic wavegeneralized KdV equationcompacton-like wavekink-like wave

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Periodic solutions to PDEs (35B10) NLS equations (nonlinear Schrödinger equations) (35Q55) Bifurcations of singular points in dynamical systems (37G10) Bifurcations in context of PDEs (35B32) Soliton solutions (35C08)

Related Items (6)

Some singular solutions and their limit forms for generalized Calogero-Bogoyavlenskii-Schiff equation ⋮ Modified method of simplest equation for obtaining exact solutions of the Zakharov-Kuznetsov equation, the modified Zakharov-Kuznetsov equation, and their generalized forms ⋮ Bifurcation analysis and solitary-like wave solutions for extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations ⋮ Bounded traveling wave solutions and their relations for the generalized HD type equation ⋮ On the analytical expression of the multicompacton and some exact compact solutions of a nonlinear diffusive Burgers' type equation ⋮ Modified method of simplest equation and its applications to the Bogoyavlenskii equation

Uses Software

• Mathematica

Cites Work

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