对称正则长波方程的行波解分岔(英文)  

Bifurcation of Traveling Wave Solutions for Symmetric Regularized Wave Equations

作　　者：钟吉玉[1] 谷秀川[1] 

机构地区：[1]湛江师范学院数学系,广东湛江524048

出　　处：《应用数学》2011年第3期488-492,共5页Mathematica Applicata

基　　金：Supported by the Guangdong Provincial Natural Science Foundation(07301595);the Youth Item of Zhanjiang Normal University(QL0601)

摘　　要：通过平面动力系统的方法讨论了对称正则长波方程的分岔问题.得到了该方程的分岔条件,在一些参数的具体值的情况下给出相图并通过微分方程的数值模拟方法模拟出了该方程的周期行波解、孤立行波解及无界行波解.A system of multi-dimensional symmetric regularized long wave equations is investigated by the bifurcation method of planar dynamical systems. The conditions of bifurcation are obtained. Phase portraits are given under some parameters＇values. Periodic traveling wave solution, solitary wave solution and unbounded traveling wave solution are simulated by numerical simulation method of differential equations.

关 键 词：分岔 行波解 相图 数值模拟 

分 类 号：O175.2[理学—数学]