Homoclinic Bifurcation for Boussinesq Equation with Even Constraint

Chin. Phys. Lett.

2006, Vol. 23

Issue (5): 1065-1067 DOI:

Original Articles

Homoclinic Bifurcation for Boussinesq Equation with Even Constraint

DAI Zheng-De^1,2;JIANG Mu-Rong²;DAI Qing-Yun²;LI Shao-Lin³

¹Department of Information and Computing Science, Guangxi Industrial College, Liuzhou 545005 ²School of Information, Yunnan University, Kunming 650091 ³Department of Mathematics, Honghe College, Mengzi, Yunnan 661100

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DAI Zheng-De, JIANG Mu-Rong, DAI Qing-Yun et al 2006 Chin. Phys. Lett. 23 1065-1067

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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.

Keywords: 02.30.Jr 47.20.Ky 47.90.+a 83.60.Wc

Published: 01 May 2006

PACS:	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)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2006/V23/I5/01065

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