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New Exact Solutions of (2+1)-Dimensional Generalization of Shallow Water Wave Equation by (G′/G)-Expansion Method

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Abstract:

Extending a symbolic computation algorithm, namely, (G′/G)-expansion method, a new series of exact solutions are constructed for (2+1)-dimensional generalization of shallow water wave equation. These solutions included hyperbolic function solution, trigonometric function solution and rational function solution. The procedure can illustrate that the new algorithm is concise, powerful and straightforward, and it can also be applied to find exact solutions for other high dimensional nonlinear evolution equations.

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Periodical:

Applied Mechanics and Materials (Volumes 20-23)

Pages:

1516-1521

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.20-23.1516

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Online since:

January 2010

Authors:

Bang Qing Li, Mei Ping Xu, Yu Lan Ma

Keywords:

(2+1)-Dimensional Generalization of Shallow Water Wave Equation, (G′/G)-Expansion Method, Exact Solution

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© 2010 Trans Tech Publications Ltd. All Rights Reserved

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