Volume 4, Number 3, 2014, Pages 221-229 DOI:10.11948/2014010 |
Soliton solutions of shallow water wave equations by means of G′/G expansion method |
Marwan Alquran,Aminah Qawasmeh |
Keywords:Shallow water wave equations, G′/G expansion method. |
Abstract: |
In this work, we investigate the traveling wave solutions for some generalized nonlinear equations: The generalized shallow water wave equation and the Whitham-Broer-Kaup model for dispersive long waves in the shallow water small-amplitude regime. We use the $G'/G$ expansion method to determine different soliton solutions of these models. The conditions of existence and uniqueness of exact solutions are also presented. |
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