New exact solutions of nonlinear differential-difference equations with symbolic computation

被引：0
|
作者：
熊守全 [1 ]
夏铁成 [1 ,2 ]
机构：
[1] Department of Mathematics,College of Sciences,Shanghai University
[2] Key Laboratory of Mathematic Mechanization,Chinese Academy of
来源：
Journal of Shanghai University(English Edition) | 2010年 / 14卷 / 06期
关键词：
D O I：
暂无
中图分类号：
O175.7 [差分微分方程];
学科分类号：
摘要：
In this paper, the Toda equation and the discrete nonlinear Schrdinger equation with a saturable nonlinearity via the discrete "G′/G"-expansion method are researched. As a result, with the aid of the symbolic computation, new hyperbolic function solution and trigonometric function solution with parameters of the Toda equation are obtained. At the same time, new envelop hyperbolic function solution and envelop trigonometric function solution with parameters of the discrete nonlinear Schrdinger equation with a saturable nonlinearity are obtained. This method can be applied to other nonlinear differential-difference equations in mathematical physics.
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页码：415 / 419
页数：5
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