A New Analytical Study of Modified Camassa-Holm and Degasperis-Procesi Equations

Majeed A. Yousif¹, Bewar A. Mahmood², Fadhil H. Easif¹

¹Department of Mathematics, University of Zakho, Zakho, Iraq.
²Department of Mathematics, University of Duhok, Duhok, Iraq.

DOI: 10.4236/ajcm.2015.53024                

Abstract

In this letter, variational homotopy perturbation method (VHPM) has been studied to obtain solitary wave solutions of modified Camassa-Holm and Degasperis-Procesi equations. The results show that the VHPM is suitable for solving nonlinear differential equations with fully nonlinear dispersion term. The travelling wave solution for above equation compared with VIM, HPM, and exact solution. Also, it was shown that the present method is effective, suitable, and reliable for these types of equations.

Keywords

Homotopy Perturbation Method, Modified Camassa-Holm Equation, Modified Degasperis-Procesi Equation

Conflicts of Interest

The authors declare no conflicts of interest.

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