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New applications of the two variable (G ′/ G,1/ G)-expansion method for closed form traveling wave solutions of integro-differential equations

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Journal of Ocean Engineering and Science 2019年第2期4卷 132-143页

作者： M.Mamun Miah H.M.Shahadat Ali M.Ali Akbar Aly R.Seadawy Department of Mathematics Khulna University of Engineering and TechnologyBangladesh Department of Applied Mathematics Noakhali Science and Technology UniversityBangladesh Department of Applied Mathematics University of RajshahiBangladesh Mathematics Department Faculty of ScienceTaibah UniversityAl-Madinah Al-MunawarahSaudi Arabia Department of Mathematics Faculty of ScienceBeni-Suef UniversityEgypt

Most fundamental themes in mathematical physics and modern engineering are investigated by the closed form traveling wave solutions of nonlinear evolution *** our research,we ascertain abundant new closed form traveling wave solution of the nonlinear integro-differential equations via Ito equation,integro-differential Sawada-Kotera equation,first integro-differential kp hierarchy equation and second integro-differential kp hierarchy equation by two variable(G/G,1/G)-expansion method with the help of computer package like *** shape of solutions like,bell profile solution,anti-king profile solution,soliton profile solution,periodic profile solution *** obtain in this *** function solution,hyperbolic function solution and rational function solution are established by using our eminent method and comparing with our results to all of the well-known results which are given in the *** means of free parameters,plentiful solitary solutions are derived from the exact traveling wave *** method can be easier and more applicable to investigate such type of nonlinear evolution models.

关键词： The two variable(G/G,1/G)-expansion method Travelling wave solutions integro-differential ito equation integro-differential Sawada-Kotera equation first integro-differential kp hierarchy equation Second integro-differential kp hierarchy equation.

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