Bifurcation and exact travelling wave solutions for Gardner-KP equation

DOI10.1016/j.amc.2013.12.005zbMath1364.35314OpenAlexW2003722144MaRDI QIDQ529930

Fang Yan, Haihong Liu

Publication date: 9 June 2017

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

Full work available at URL: https://doi.org/10.1016/j.amc.2013.12.005

zbMATH Keywords

bifurcationsolitary wave solutionGardner-KP equationperiodic wave solutionkink (anti-kink) wave solution

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Bifurcations of singular points in dynamical systems (37G10) Traveling wave solutions (35C07)

Related Items (5)

Subharmonic bifurcations and chaos for the traveling wave solutions of the compound KdV-Burgers equation with external and parametrical excitations ⋮ Bifurcation and exact solutions for the \((2+1)\)-dimensional conformable time-fractional zoomeron equation ⋮ Bifurcation and exact traveling wave solutions for dual power Zakharov-Kuznetsov-Burgers equation with fractional temporal evolution ⋮ Dynamical survey of the dual power Zakharov-Kuznetsov-Burgers equation with external periodic perturbation ⋮ Optimal subalgebra of GKP by using Killing form, conservation law and some more solutions

Cites Work

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• New solitary wave solution of the combined KdV and mKdV equation
• New solitons and kink solutions for the Gardner equation
• Solitons and singular solitons for the Gardner-KP equation
• Wave Propagation in Nonlinear Lattice. I
• On Series Expansions Giving Closed-Form Solutions of Korteweg–de Vries-Like Equations
• Method for Solving the Korteweg-deVries Equation
• Inverse spectral transform for the (2 + 1)-dimensional Gardner equation
• Exact solutions to the combined KdV and mKdV equation
• Solitary wave solutions and cnoidal wave solutions to the combined KdV and mKdV equation
• THE EXACT TRAVELING WAVE SOLUTIONS AND THEIR BIFURCATIONS IN THE GARDNER AND GARDNER–KP EQUATIONS
• BIFURCATIONS OF TRAVELING WAVE SOLUTIONS FOR FOUR CLASSES OF NONLINEAR WAVE EQUATIONS

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