Travelling wave solutions for the MKdV-sine-Gordon and the MKdV-sinh-Gordon equations by using a variable separated ODE method

DOI10.1016/j.amc.2006.03.024zbMath1105.65096OpenAlexW2062090102MaRDI QIDQ856183

Abdul-Majid Wazwaz

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.03.024

zbMATH Keywords

Korteweg-de Vries equationsine-Gordon equationtravelling wave solutionssinh-Gordon equationsolitary wave solutionsmodified KdV equationvariable separated ODE method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (15)

Particular solutions to equations of sine-Gordon type ⋮ Exact solutions for a nonlinear model ⋮ Infinitely many nonlocal symmetries and nonlocal conservation laws of the integrable modified KdV-sine-Gordon equation ⋮ A function transformation method and exact solutions to a generalized sinh-Gordon equation ⋮ Mathematical structure of topological solitons due to the sine-Gordon equation ⋮ On the Cauchy problem for the mKdV-sine-Gordon equation with an additional term ⋮ EXPLICIT AND EXACT SOLUTIONS TO THE mKdV-SINE-GORDON EQUATION ⋮ One and two soliton solutions for the sinh-Gordon equation in (1+1), (2+1) and (3+1) dimensions ⋮ Perturbation of topological solitons due to sine-Gordon equation and its type ⋮ NEW EXPLICIT EXACT SOLUTIONS OF THE mKdV-sinh-GORDON EQUATION ⋮ New travelling wave solutions to some nonlinear equations via a combined method ⋮ Integrability and exact solutions of the nonautonomous mixed mKdV-sinh-Gordon equation ⋮ Solitons on a Periodic Wave Background of the Modified KdV-Sine-Gordon Equation ⋮ Complex simplified Hirota's forms and Lie symmetry analysis for multiple real and complex soliton solutions of the modified KdV-sine-Gordon equation ⋮ Numerical evaluations of periodic wave solutions, integrable time discretization and their applications to the mKdV–sine-Gordon equation

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