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

 International Journal of Mathematics Trends and Technology (IJMTT) © 2016 by IJMTT Journal Volume-33 Number-3 Year of Publication : 2016 Authors : R.N Prajapati, Rakesh Mohan ,Pankaj Kumar

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). V33(3):148-155 May 2016. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

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.

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