Compactons solutions for the fractional nonlinear dispersive K(2,2) equations by the homotopy perturbation method

D. Zianea,* K. Belghabab and M. Hamdi Cherifc

Compactons solutions for the fractional nonlinear dispersive K(2,2) equations by the homotopy perturbation method

Authors :

D. Ziane^a,* K. Belghaba^band M. Hamdi Cherif^c

Author Address :

^a,b,cLaboratory of mathematics and its applications (LAMAP), University of Oran1, P.O. Box 1524, Oran, 31000, Algeria.

*Corresponding author.

Abstract :

In this paper, the homotopy perturbation is successively used to obtain approximate analytical solutions of the nonlinear dispersive K(2, 2) equation with time and space derivative. Comparison between the numerical and the exact solutions revealed thatHPMis an alternative analytical method for solving fractional differential equations.

Keywords :

Caputo fractional derivative, homotopy perturbation method, K(2,2) equation, fractional differential equations.

DOI :

Article Info :

Received : April 09, 2015; Accepted : August 23, 2015.