窄脉冲方程的广义扭结波解  

The Generalized Kink Waves of the Short Pulse Equation

作　　者：谢绍龙[1] 芮伟国[2] 贺江华[1] 

机构地区：[1]玉溪师范学院数学系,云南玉溪653100 [2]红河学院数学系,云南蒙自661100

出　　处：《玉溪师范学院学报》2007年第8期1-5,共5页Journal of Yuxi Normal University

基　　金：国家自然科学基金(10571062);云南省教育厅自然科学基金资助项目;编号:06Y147A

摘　　要：用微分方程定性理论结合数值模拟方法研究了窄脉冲方程的广义扭结波.画出了该方程平面系统的相图分支,根据相图找到了广义扭结波的存在条件,求出了广义扭结波的解.用数学软件Maple对行波方程进行了数值模拟,得到了广义扭结波的平面模拟图.数值模拟验证了理论分析结果.The generalized kink waves of the short pulse equation were studied by the qualitative theory of ordinary differential equations and numerical simulation method.The bifurcation phase portraits were drawn.The parameter conditions that the generalized kink waves appear were found,and their solutions were obtained.The planar graphs of the traveling wave equation were simulated by using mathematical software Maple.The numerical simulation verified the results of theoretical analysis.

关 键 词：脉冲方程 相图分支 数值模拟 广义扭结波 

分 类 号：O175.24[理学—数学]