Solitary wave solutions to two nonlinear evolution equations via the modified simple equation method

Abstract

In this article, we investigate two essential nonlinear evolution equations namely modified dispersive water wave equations  and the Whitham-Broer-Kaup model for dispersive long waves in the shallow water small-amplitude regime by using the modified  simple equation (MSE) method. The obtained solutions with parameters expose that the method is incredibly prominent and effective    mathematical tool for solving nonlinear evolution equations (NLEEs) in mathematical physics, applied mathematics and engineering.   When the parameters have taken special values the solitary wave solutions are attained from the exact solutions. In addition, this   procedure reduces the size of calculations.

Keywords

• Modified simple equation method,nonlinear evolution equations,solitary wave solutions,modified dispersive water wave equations

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