A new method of exact travelling wave solution for coupled nonlinear differential equations

DOI10.1016/j.physleta.2004.01.023zbMath1118.81366OpenAlexW2000964266MaRDI QIDQ5919930

Jianlan Hu

Publication date: 8 October 2007

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2004.01.023

zbMATH Keywords

exact solutionsansatz methodcoupled nonlinear differential equations

Mathematics Subject Classification ID

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

Related Items (11)

Analytical simulations of the Fokas system; extension (2 + 1)-dimensional nonlinear Schrödinger equation ⋮ New exact traveling wave solutions of some nonlinear higher-dimensional physical models ⋮ Trigonometric and hyperbolic type solutions to a generalized Drinfel'd-Sokolov equation ⋮ Exact and numerical solutions of generalized Drinfeld-Sokolov equations ⋮ Traveling wave solutions \((u,\nu)\) to a generalized Drinfel'd-Sokolov system which satisfy \(u=a_1\nu^m+a_0\) ⋮ Application of the novel \((G'/G)\)-expansion method to the regularized long wave equation ⋮ Traveling wave solutions for generalized Drinfeld-Sokolov equations ⋮ The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics ⋮ Analytical solutions to a generalized Drinfel'd-Sokolov equation related to DSSH and KdV6 ⋮ A (2+1)-dimensional shallow water equation and its explicit lump solutions ⋮ Some applications of the \((\frac{G'}{G})\)-expansion method to non-linear partial differential equations

Cites Work

• Bäcklund transformations and their applications
• Integrable KdV systems: Recursion operators of degree four
• The Painlevé property for partial differential equations
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Approximate solution of the damped Burgers equation
• Exact solutions of coupled scalar field equations
• A new method for finding exact traveling wave solutions to nonlinear partial differential equations
• Explicit solutions to three nonlinear physical models

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