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.
基金项目:
作者单位
赵雪芹 大连理工大学应用数学系, 辽宁 大连 116024 
智红燕 曲阜师范大学数学科学院, 山东 曲阜 273165 
张鸿庆 大连理工大学应用数学系, 辽宁 大连 116024 
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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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