Solitary wave solutions for a generalized Hirota–Satsuma coupled KdV equation by homotopy perturbation method

By D. Domiri Ganji, M. Rafei. 2006

253 citations recorded by the source corpus.

Subfields: Mechanics of Materials, Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/8e049146f434650b12a503356159dc3db8e163ae

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In Mechanics of Materials

In Modeling and Simulation

In Statistical and Nonlinear Physics

Citations in the corpus

SOLUTION OF AN INTEGRO-DIFFERENTIAL EQUATION ARISING IN OSCILLATING MAGNETIC FIELDS USING HE'S HOMOTOPY PERTURBATION METHOD (2008, unknown): “…and nonlinear problems such as fractional partial diﬀerential equations [32], the nonlinear Hirota-Satsuma coupled KdV partial diﬀerential equation [12], nonlinear boundary value problems [22], traveling wave solutions of nonlinear wave equations [21], Nonlinear convective-radiative cooling…”
Application of He's Homotopy-perturbation Method to Nonlinear Coupled Systems of Reaction-diffusion Equations (2006, methodology): “HPM was successfully applied to nonlinear oscillators with discontinuities [19], boundary value problems [23], heat radiation equations [24], generalized Hirota-Satsuma coupled KdV equation [25], Helmholtz Equation and Fifth-order KdV Equation [33].”
Approximate general and explicit solutions of nonlinear BBMB equations by Exp-Function method (2009, methodology): “In addition, in recent years, scientists have presented some new methods for solving nonlinear partial differential equations; for instance, Bäcklund transformation method [3], Lie groupmethod [4], Adomian’s decomposition method [5], inverse scattering method [6], Hirota’s bilinear method [7], homot”
He's homotopy perturbation method for solving systems of Volterra integral equations of the second kind (2009, unknown): “Introduction The Topic of the He’s homotopy perturbation method [1–6] has been rapidly growing in recent years [7–23].”
Application of Variational Iteration and Homotopy-Perturbation Methods to Nonlinear Heat Transfer Equations with Variable Coefficients (2007, methodology): “’’ The HPM was successfully applied to nonlinear oscillators with discontinuities [6], boundary-value problems [20], heat radiation equations [21, 22], generalized Hirota-Satsuma coupled KdV equations [23] and nonlinear coupled systems of reaction-diffusion equations [24].”
Homotopy Perturbation Method for Systems of Partial Differential Equations (2007, methodology): “Recently a great deal of interest has been focused on the applications of the homotopy perturbation method, well addressed in [6-14], In this method the solution is considered as the summation of an infinite series which usually converges rapidly to the exact solutions.”