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A New Analytical Study of Modified Camassa-Holm and Degasperis-Procesi Equations
Department of Mathematics, University of Zakho, Zakho, Iraq
Department of Mathematics, University of Duhok, Duhok, Iraq
Department of Mathematics, University of Zakho, Zakho, Iraq
- 1 Department of Mathematics, University of Zakho, Zakho, Iraq
- 2 Department of Mathematics, University of Duhok, Duhok, Iraq
- 3 Department of Mathematics, University of Zakho, Zakho, Iraq
American Journal of Computational Mathematics·Volume 05 (2015)·Pages 267–273·Published 20 August 2015·DOI10.4236/ajcm.2015.53024
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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.
KeywordsHomotopy Perturbation MethodModified Camassa-Holm EquationModified Degasperis-Procesi Equation
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