赵雪芹,智红燕,张鸿庆.非线性系统的精确解[J].数学研究及应用,2008,28(1):111~118 |
非线性系统的精确解 |
Constructing Exact Solutions for Two Nonlinear Systems |
投稿时间:2005-06-13 修订日期:2005-11-27 |
DOI:10.3770/j.issn:1000-341X.2008.01.015 |
中文关键词: 扩展的$\tanh$函数法 孤波解. |
英文关键词:generalized tanh functions method solitary wave solution $(2+1)$-dimensional dispersive long-wave system (DLWs) reaction-diffusion equations. |
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中文摘要: |
本文通过利用辅助方程的新解和一个合适的提设求出两个非线性系统的新的精确解,此方法可以用于求其他非线性系统的精确解. |
英文摘要: |
Based on the computerized symbolic, a new generalized tanh functions method is used for constructing exact travelling wave solutions of nonlinear partial differential equations (PDES) in a unified way. The main idea of our method is to take full advantage of an auxiliary ordinary differential equation which has more new solutions. At the same time, we present a more general transformation, which is a generalized method for finding more types of travelling wave solutions of nonlinear evolution equations (NLEEs). More new exact travelling wave solutions to two nonlinear systems are explicitly obtained. |
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