一类非线性波动方程的有界行波解  

Bounded traveling waves of a nonlinear wave equation

作　　者：谢绍龙[1] 蔡炯辉[1] 

机构地区：[1]玉溪师范学院数学系,云南玉溪653100

出　　处：《西北师范大学学报（自然科学版）》2006年第1期36-40,共5页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(10261008)

摘　　要：用动力系统分支理论和数值模拟方法研究了一类非线性波动方程的有界行波,给出了有界行波的存在条件,得到了有界行波解.数值模拟和理论分析结果相一致.The bounded traveling waves of a nonlinear wave equation is considered, and the bifurcation theory of dynamical systems and numerical simulation method are used to analyze them qualitatively. The existence domain of the bounded traveling waves are found. The bounded traveling waves solutions are obtained. Our numerical simulation and qualitative results are identical.

关 键 词：非线性波动方程 有界行波 周期轨 同宿轨 

分 类 号：O175.24[理学—数学]