Traveling Wave Solutions for Shallow Water Wave Equation by (G'/G)-Expansion Method
Authors: Anjali Verma, Ram Jiwari, Jitender Kumar
Abstract:
This paper presents a new function expansion method for finding traveling wave solution of a non-linear equation and calls it the (G'/G)-expansion method. The shallow water wave equation is reduced to a non linear ordinary differential equation by using a simple transformation. As a result the traveling wave solutions of shallow water wave equation are expressed in three forms: hyperbolic solutions, trigonometric solutions and rational solutions.
Keywords: Shallow water wave equation, Exact solutions, (G'/G) expansion method.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1335668
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