期刊
PHYSICS LETTERS A
卷 355, 期 1, 页码 32-38出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2006.01.094
关键词
general nonlinear equations; symbolic computation; complex hyperbolic-function method; exact solutions
Based on computerized symbolic computation, a complex hyperbolic-function method is proposed for the general nonlinear equations of mathematical physics in a unified way. In this method, we assume that exact solutions for a given general nonlinear equations be the superposition of different powers of the sech-function, tanh-function and/or their combinations. After finishing some direct calculations, we can finally obtain the exact solutions expressed by the complex hyperbolic function. The characteristic feature of this method is that we can derive exact solutions to the general nonlinear equations directly without transformation. Some illustrative equations, such as the (1 + 1)-dimensional coupled Schrodinger-KdV equation, (2 + 1)-dimensional Davey-Stewartson equation and Hirota-Maccari equation, are investigated by this means and new exact solutions are found. (c) 2006 Elsevier B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据