Traveling wave solutions of the sine-Gordon and the coupled sine-Gordon equations using the homotopy-perturbation method

zbMath1387.65112MaRDI QIDQ2389033

A. Sadighi, B. Ganjavi, Davood Domairry Ganji

Publication date: 22 July 2009

Published in: Scientia Iranica. Transaction B: Mechanical Engineering (Search for Journal in Brave)

zbMATH Keywords

sine-Gordon equationtraveling wave solutionhomotopy-perturbation methodcoupled sine-Gordon equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Traveling wave solutions (35C07)

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A SPLINE-BASED DIFFERENTIAL QUADRATURE APPROACH TO SOLVE SINE-GORDON EQUATION IN ONE AND TWO DIMENSION ⋮ Double Sumudu transform iterative method for one-dimensional nonlinear coupled sine-Gordon equation ⋮ Differential transform method with complex transforms to some nonlinear fractional problems in mathematical physics ⋮ Large deflection of flexible tapered functionally graded beam ⋮ A fully explicit variational integrator for multidimensional systems of coupled nonlinear fractional hyperbolic equations ⋮ Analytical solution of two-dimensional sine-Gordon equation

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