Jacobi elliptic function solutions of the (1 + 1)-dimensional dispersive long wave equation by Homotopy Perturbation Method

DOI10.1002/num.20321zbMath1153.65104OpenAlexW2054652050WikidataQ115398603 ScholiaQ115398603MaRDI QIDQ3539895

Me. Miansari, Dmo. Miansari, Davood Domairry Ganji

Publication date: 19 November 2008

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20321

zbMATH Keywords

numerical examplessystem of nonlinear differential equationshomotopy perturbation methodJacobi elliptic function solutions\((1+1)\)-dimensional long wave equation

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (8)

Homotopy perturbation method for the mixed Volterra-Fredholm integral equations ⋮ Solution of the heat equation in the cast‐mould heterogeneous domain using a weighted algorithm based on the homotopy perturbation method ⋮ Numerical study of homotopy-perturbation method applied to Burgers equation in fluid ⋮ Exact solutions for some systems of PDEs by He's homotopy perturbation method ⋮ Application of he's homotopy perturbation method for solving the Cauchy reaction-diffusion problem ⋮ On the solution of the nonlinear Kortewegâ de Vries equation by the homotopy perturbation method ⋮ Numerical solution of a model for stochastic polymer equation driven by space-time Brownian motion via homotopy perturbation method ⋮ The use of variational iteration method and homotopy perturbation method for solving two nonlinear equations

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