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Analytical studies on the Benney–Luke equation in mathematical physics
Authors:S M Rayhanul Islam  Kamruzzaman Khan  K M Abdul Al Woadud
Institution:1. Department of Mathematics, Pabna University of Science and Technology, Pabna, Bangladesh;2. Department of Electrical &3. Electronic Engineering, Uttara University, Dhaka, Bangladesh
Abstract:The enhanced (G′/G)-expansion method presents wide applicability to handling nonlinear wave equations. In this article, we find the new exact traveling wave solutions of the Benney–Luke equation by using the enhanced (G′/G)-expansion method. This method is a useful, reliable, and concise method to easily solve the nonlinear evaluation equations (NLEEs). The traveling wave solutions have expressed in term of the hyperbolic and trigonometric functions. We also have plotted the 2D and 3D graphics of some analytical solutions obtained in this paper.
Keywords:
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