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Homoclinic Bifurcation for Boussinesq Equation with Even Constraint
作者姓名:戴正德  蒋慕蓉  戴庆云  李绍林
作者单位:[1]Department of Information and Computing Science, Guangxi Industrial College, Liuzhou 545005 [2]School of Information, Yunnan University, Kunming 650091 [3]Department of Mathematics, Honghe College, Mengzi, Yunnan 661100
基金项目:Supported by the National Natural Science Foundation of China under Grant No 10361007, and the Yunnan Natural Science Foundation under Grant No 2004A0001M.
摘    要:

关 键 词:Boussinesq方程  非线性演化方程  数学分析  双分歧
收稿时间:2006-06-05
修稿时间:2006-06-05

Homoclinic Bifurcation for Boussinesq Equation with Even Constraint
DAI Zheng-De , JIANG Mu-Rong, DAI Qing-Yun, LI Shao-Lin.Homoclinic Bifurcation for Boussinesq Equation with Even Constraint[J].Chinese Physics Letters,2006,23(5):1065-1067.
Authors:DAI Zheng-De  JIANG Mu-Rong  DAI Qing-Yun  LI Shao-Lin
Affiliation:1 Department of Information and Computing Science, G uangxi Industrial College, Liuzhou 545005 ; 2 School of Information, Yunnan University, Kunming 650091 ; 3 Department of Mathematics, Honghe College, Mengzi, Yunnan 661100
Abstract:The exact homoclinic orbits and periodic soliton solution for the Boussinesq equation are shown. The equilibrium solution u0 = -1/6 is a unique bifurcation point. The homoclinic orbits and solitons will be interchanged with the solution varying from one side of-1/6 to the other aide. The solution structure can be understood in general.
Keywords:
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