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一类复合Burgers-Korteweg-de Vries方程的行波解和稳定性分析
  • 时间：0
  • 分类：O175.24[理学—数学;理学—基础数学]
  • 作者机构：[1]许昌学院数学科学学院,河南许昌461000
  • 相关基金：国家自然科学基金（10802043 10826092）; 河南省高校科技创新人才支持计划（2009HASTIT033）资助项目
  • 相关项目：非线性波方程动力学性质的研究及其在生物系统中应用
关键词： 定性理论, 行波解, 复合Burgers-Korteweg-de, VRIES方程, 稳定性分析, Qualitative theory, Traveling wave solutions, Compound Burgers-Korteweg-de Vries equation, Stability analysis
中文摘要：

利用微分方程定性理论的相关方法和定理,对一类复合Burgers-Korteweg-de Vries方程进行研究,获得了方程行波解的存在性和唯一性,并给出了方程行波解的表达式,与此同时,研究了行波解的动力学行为和它们不同解的分岔.

英文摘要：

By means of relevant methods and theorems in the qualitative theory of differential equations,traveling wave solution of a compound Burgers-Korteweg-de Vries equation is studied. The existence and uniqueness of traveling wave solution of the equation are obtained,and the expression of the traveling wave solution is given. In the meantime,the dynamical behavior of the traveling wave solutions and their bifurcation of different solutions are also investigated.

同期刊论文项目
非线性波方程行波解分岔及其动力学行为的研究
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非线性波方程动力学性质的研究及其在生物系统中应用
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