Using symbolic computation to exactly solve a new coupled MKdV system

DOI10.1016/S0375-9601(02)00654-0zbMath0995.35057MaRDI QIDQ1601256

En-gui Fan

Publication date: 25 June 2002

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

zbMATH Keywords

Riccati equationtravelling wave solutionsextended tanh method

Mathematics Subject Classification ID

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

Related Items (14)

A generalized algebraic method of new explicit and exact solutions of the nonlinear dispersive generalized Benjamin-Bona-Mahony equations ⋮ A improved F-expansion method and its application to Kudryashov-Sinelshchikov equation ⋮ A series of explicit and exact travelling wave solutions of the \(B(m, n)\) equations ⋮ An auxiliary equation technique and exact solutions for a nonlinear Klein-Gordon equation ⋮ New exact solutions of the double sine-Gordon equation using symbolic computations ⋮ A improved F-expansion method and its application to the Zhiber-Shabat equation ⋮ Two synthetical five-component nonlinear integrable systems: Darboux transformations and applications ⋮ The subsidiary ordinary differential equations and the exact solutions of the higher order dispersive nonlinear Schrödinger equation ⋮ New explicit travelling wave solutions of nonlinearly dispersive Boussinesq equations ⋮ A powerful approach to study the new modified coupled Korteweg-de Vries system ⋮ Rogue waves, bright-dark solitons and traveling wave solutions of the \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation ⋮ THE RATIONAL SOLUTIONS TO A GENERALIZED RICCATI EQUATION AND THEIR APPLICATION ⋮ Darboux transformation and soliton solutions for a three-component modified Korteweg-de Vries equation ⋮ Exact solutions for stochastic KdV equations

Cites Work

• An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
• A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations
• Travelling solitary wave solutions to a compound KdV-Burgers equation.
• Solitary wave solutions of nonlinear wave equations
• Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation

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