一类复合Burgers-Korteweg-de Vries方程的行波解和稳定性分析  

Stability Analysis and Traveling Wave Solutions of a Compound Burgers-Korteweg-de Vries Equation

作　　者：苗宝军[1] 李鹏[1] 申建伟[1] 

机构地区：[1]许昌学院数学科学学院,河南许昌461000

出　　处：《四川师范大学学报（自然科学版）》2009年第5期602-605,共4页Journal of Sichuan Normal University（Natural Science）

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

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.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.

关 键 词：定性理论 行波解 复合Burgers-Korteweg-de VRIES方程 稳定性分析 

分 类 号：O175.24[理学—数学]