Exact solutions for coupled KdV equation and KdV equations
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Publication:716009
DOI10.1016/j.physleta.2007.06.009zbMath1209.81103OpenAlexW1965975933MaRDI QIDQ716009
Publication date: 19 April 2011
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2007.06.009
KdV equations (Korteweg-de Vries equations) (35Q53) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)
Related Items (9)
Soliton solution of coupled Korteweg-de Vries equation by quintic UAH tension B-spline differential quadrature method ⋮ An effective approximation to the dispersive soliton solutions of the coupled KdV equation via combination of two efficient methods ⋮ New exact solutions and numerical approximations of the generalized KdV equation ⋮ Single soliton and double soliton solutions of the quadratic‐nonlinear Korteweg‐de Vries equation for small and long‐times ⋮ A new method with a different auxiliary equation to obtain solitary wave solutions for nonlinear partial differential equations ⋮ Auto-Bäcklund transformation and similarity reductions for coupled Burger's equation ⋮ New general solutions for the general elliptic and auxiliary equations and application to the coupled KdV equation ⋮ A mixed algorithm for numerical computation of soliton solutions of the coupled KdV equation: finite difference method and differential quadrature method ⋮ Modification of quintic B-spline differential quadrature method to nonlinear Korteweg-de Vries equation and numerical experiments
Uses Software
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