The application of the auxiliary equation technique to a generalized mKdV equation with variable coefficients

DOI10.1016/j.cam.2007.12.021zbMath1158.35422OpenAlexW2090377704MaRDI QIDQ953372

Jun Yin, Shaoyong Lai, Yi Zhang, Yong-Hong Wu

Publication date: 20 November 2008

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

Full work available at URL: https://doi.org/10.1016/j.cam.2007.12.021

zbMATH Keywords

auxiliary equationsoliton-like solutionsgeneralized mKdV equationJacobi elliptic wave-like function

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Solutions to PDEs in closed form (35C05)

Related Items (8)

Classification and bifurcation of a class of second-order ODEs and its application to nonlinear PDEs ⋮ A method for constructing traveling wave solutions to nonlinear evolution equations ⋮ On a KdV equation with higher-order nonlinearity: Traveling wave solutions ⋮ SUB-MANIFOLD AND TRAVELING WAVE SOLUTIONS OF ITO'S 5TH-ORDER MKDV EQUATION ⋮ Exact solutions for the generalized BBM equation with variable coefficients ⋮ Abundant explicit and exact solutions for the variable coefficient mKdV equations ⋮ New exact solutions for the generalized variable-coefficient Gardner equation with forcing term ⋮ Error estimates for a Galerkin numerical scheme applied to a generalized BBM equation

Cites Work

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• On a class of nonlinear dispersive-dissipative interactions
• The application of bifurcation method to a higher-order KdV equation
• A variable separated ODE method for solving the triple sine-Gordon and the triple sinh-Gordon equations
• An approximation of the analytic solution of the shock wave equation
• A moving collocation method for the solution of the transient convection-diffusion-reaction problems
• Adomian decomposition method for solving BVPs for fourth-order integro-differential equations
• The Korteweg–deVries Equation: A Survey of Results
• A numerical and theoretical study of certain nonlinear wave phenomena

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