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正则长波方程的同宿轨道
引用本文:滕晓燕,张卫国,李娜. 正则长波方程的同宿轨道[J]. 上海理工大学学报(社会科学版), 2008, 30(6)
作者姓名:滕晓燕  张卫国  李娜
作者单位:[1]上海工程技术大学基础学院,上海201600 [2]上海理工大学理学院,上海200093
基金项目:上海高校选拔培养优秀青年教师科研专项基金 ?
摘    要:在对一类正则长波方程定性分析的基础上,得到了其全局相图.由此推知,此类方程具有渐近值相同的钟状孤波解,并求得了其精确孤立波解,即此正则长波方程的同宿轨道.

关 键 词:正则长波方程  同宿轨道  行波解

Homoclinic orbit of regularized long wave equation
TENG Xiao-yan,ZHANG Wei-guo,LI Na(.College of Funda.,Shanghai Universitg of Engineering Science,Shanghai,Chin,.College of Science,University of Shanghai for Science,Technology,Shanghai,China. Homoclinic orbit of regularized long wave equation[J]. Journal of University of Shanghai For Science and Technilogy(Social Science), 2008, 30(6)
Authors:TENG Xiao-yan  ZHANG Wei-guo  LI Na(.College of Funda.  Shanghai Universitg of Engineering Science  Shanghai  Chin  .College of Science  University of Shanghai for Science  Technology  Shanghai  China
Abstract:By qualitatively analyzing regularized long wave equation,its global phase portrait,and come to the condusion that the equation has kell-shaped solitang wave solution which asymptotic value is the same.Then we get its exact solitang wave solution,ie.homoclinic orbit of regularized long wave equation was obtained.
Keywords:regularized long wave equation  homoclinic orbit  travelling-wave solution  
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