Exact Solutions of the Nonlinear Generalized Shallow Water Wave Equation
نویسنده
چکیده
Submitted: Nov 12, 2013; Accepted: Dec 18, 2013; Published: Dec 22, 2013 Abstract: In this article, we have employed an enhanced (G′/G)-expansion method to find the exact solutions first and then the solitary wave solutions of the nonlinear generalized shallow water wave equation. Here we have derived solitons, singular solitons and periodic wave solutions through the enhanced (G′/G)-expansion method. The solutions obtained hereby reveal the richness of explicit solitons and periodic solutions to the applied equation. It has been shown that the enhanced (G′/G)-expansion method is effective and can be used for many other nonlinear evolution equations (NLEEs) in mathematical physics.
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