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

DOI: 10.4236/ajcm.2015.53024   PDF   HTML   XML   4,417 Downloads   4,976 Views   Citations


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.

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Yousif, M. , Mahmood, B. and Easif, F. (2015) A New Analytical Study of Modified Camassa-Holm and Degasperis-Procesi Equations. American Journal of Computational Mathematics, 5, 267-273. doi: 10.4236/ajcm.2015.53024.

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The authors declare no conflicts of interest.


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