(2+1)-D GSWW方程的对称约简和精确非行波解

2009 International Conference on Environmental Science and Information Application Technology Pub Date : 2011-03-26 DOI:10.1109/ICIST.2011.5765138

Guang-Can Xiao, Chuang Zheng, Daquan Xian

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引用次数: 0

摘要

本文采用群法将(2+1)维广义浅水波动方程(GSWW)化简为(1+1)维常系数偏微分方程。此外，我们还利用同斜检验技术、Hirota法和辅助方程法等确定了GSWW方程的任意函数的新的精确非行解。

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Symmetry reduced and exact non-traveling wave solutions of the (2+1)-D GSWW equation

In this paper, the (2+1)-dimensional generalized shallow water wave equation (GSWW) is reduced to a (1+1)-dimensional PDE with constant coefficients by means of the group method. Moreover, we determine some new exact non-traveling solutions with arbitrary function of the GSWW equation by means of the homoclinic test technique, Hirota method and auxiliary equation method, etc.

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2009 International Conference on Environmental Science and Information Application Technology

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