Homoclinic Bifurcation for Boussinesq Equation with Even Constraint
DAI Zheng-De1,2 , JIANG Mu-Rong2 , DAI Qing-Yun2 , LI Shao-Lin3
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
Homoclinic Bifurcation for Boussinesq Equation with Even Constraint
DAI Zheng-De1,2 ;JIANG Mu-Rong2 ;DAI Qing-Yun2 ;LI Shao-Lin3
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
关键词 ：
02.30.Jr ,
47.20.Ky ,
47.90.+a ,
83.60.Wc
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 side. The solution structure can be understood in general.
Key words ：
02.30.Jr
47.20.Ky
47.90.+a
83.60.Wc
出版日期: 2006-05-01
:
02.30.Jr
(Partial differential equations)
47.20.Ky
(Nonlinearity, bifurcation, and symmetry breaking)
47.90.+a
(Other topics in fluid dynamics)
83.60.Wc
(Flow instabilities)
引用本文:
DAI Zheng-De;JIANG Mu-Rong;DAI Qing-Yun;LI Shao-Lin. Homoclinic Bifurcation for Boussinesq Equation with Even Constraint[J]. 中国物理快报, 2006, 23(5): 1065-1067.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2006/V23/I5/1065
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2006, Vol. 23 
