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1-Soliton solution of the Klein-Gordon-Zakharov equation with power law nonlinearity
Authors:MS Ismail
Institution:a Department of Mathematics, College of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
b 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 obtains the 1-soliton solution of the Klein-Gordon-Zakharov equation with power law nonlinearity. The solutions are obtained both in (1+1) and (1+2) dimensions. The solitary wave Ansatz method is applied to obtain the solution. The numerical simulations are included that supports the analysis.
Keywords:Solitons  Integrability  Numerical simulations
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