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Soliton solutions of a few nonlinear wave equations
Authors:Anwar Ja&rsquo  afar Mohamad Jawad,Anjan Biswas
Affiliation:a Department of Electrical Engineering, University of Technology, P.O. Box 35010, Baghdad-00964, Iraq
b Faculty of Science and Mathematics, Department of Mathematics and Computer Science, University of Niš, Višegradska 33, 18000 Niš, Serbia
c Applied Mathematics Research Center, Center for Research and Education in Optical Sciences and Applications, Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA
Abstract:This paper carries out the integration of a few nonlinear wave equations to obtain topological as well as non-topological soliton solutions. The mathematical techniques used to obtain the soliton solutions are He’s variational iteration method, the tanh method and the ansatz method. The nonlinear wave equations that are studied are coupled mKdV equations, Drinfeld-Sokolov equation and its generalized version. Finally, some numerical simulations are given to support the analytical solutions.
Keywords:Solitons   Exact solutions   Variational iteration method   Tanh method
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