Fractional order Hirota-Satsuma coupled KdV equation by Homotopy perturbation transforms method

R.N Prajapati; Rakesh Mohan; Pankaj Kumar

doi:https://doi.org/10.14445/22315373/IJMTT-V33P521

International Journal of Mathematics Trends and Technology

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Volume 33 | Number 3 | Year 2016 | Article Id. IJMTT-V33P521 | DOI : https://doi.org/10.14445/22315373/IJMTT-V33P521

Fractional order Hirota-Satsuma coupled KdV equation by Homotopy perturbation transforms method

R.N Prajapati, Rakesh Mohan ,Pankaj Kumar

Abstract

In this paper, we have used homotopy perturbation method and Laplace transformation to determine approximate solutions which converge to exact solution of generalized Hirota−Satsuma coupled KdV equation. The nonlinear terms handled by the use of He’s polynomial.

Keywords

Homotopy perturbation method, Laplace transform method, Generalized Hirota-Satsuma Coupled KdV Equation

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Citation :

R.N Prajapati, Rakesh Mohan ,Pankaj Kumar, "Fractional order Hirota-Satsuma coupled KdV equation by Homotopy perturbation transforms method," International Journal of Mathematics Trends and Technology (IJMTT), vol. 33, no. 3, pp. 148-155, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V33P521