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

作　　者：Majeed A. Yousif Bewar A. Mahmood Fadhil H. Easif 

机构地区：[1]Department of Mathematics, University of Zakho, Zakho, Iraq [2]Department of Mathematics, University of Duhok, Duhok, Iraq

出　　处：《American Journal of Computational Mathematics》2015年第3期267-273,共7页美国计算数学期刊（英文）

摘　　要：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.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.

关 键 词：HOMOTOPY PERTURBATION Method MODIFIED CAMASSA-HOLM EQUATION MODIFIED DEGASPERIS-PROCESI EQUATION 

分 类 号：O1[理学—数学]