作　　者： ; ; ;

机构地区： 嘉兴学院数理与信息工程学院

出　　处： 《上海理工大学学报》 2010年第1期48-54,共7页

摘　　要： 运用平面动力系统理论对组合BBM-Burgers方程所对应的动力系统作了定性分析,给出了其在不同参数条件下的全局相图.研究了该方程行波解的性态与耗散系数r之间的关系,得到当耗散作用较大时行波表现为扭状孤波,当耗散作用较小时行波表现为衰减振荡解的结论. By using the theory of planar dynamical systems to carry out the qualitative analysis of the dynamical system corresponding to compound BBM-Burgers equation, the global phase portraits under various parameter conditions were obtained, and the relations between the behaviors of bounded traveling wave solutions and the dissipation coefficient r were investigated. The conclu- sion is that a bounded traveling wave solution appears as a kink profile solitary wave solution when r is more than the critical value, while it appears as a damped oscillatory solution when r is less than the critical value.

关 键 词： 组合 方程 定性分析 全局相图 扭状解 振荡解

领　　域： [理学] [理学]