Periodic Bifurcation and Soliton Deflexion for Kadomtsev--Petviashvili Equation

Chin. Phys. Lett.

2007, Vol. 24

Issue (6): 1429-1432 DOI:

Original Articles

Periodic Bifurcation and Soliton Deflexion for Kadomtsev--Petviashvili Equation

DAI Zheng-De ^1,2,3;LI Shao-Lin⁴;LI Dong-Long²;ZHU Ai-Jun⁵

¹School of Mathematics and Physics, Yunnan University, Kunming 650091² Department of Information and Computing Science, Guangxi Institute of Technology, Liuzhou 545005³ The Institute of Mathematical Sciences, The Chinese University of Hong Kong, Hong Kong⁴ Department of Mathematics, Honghe College, Mengzi 661100⁵ School of Mathematics and Physics, Nanhua University, Hengyang 421001

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DAI Zheng-De, LI Shao-Lin, LI Dong-Long et al 2007 Chin. Phys. Lett. 24 1429-1432

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Abstract The spatial--temporal bifurcation for Kadomtsev--Petviashvili (KP) equations is considered. Exact two-soliton solution and doubly periodic solution to the KP-I equation, and two classes of periodic soliton solutions in different directions to KP-II are obtained using the bilinear form, homoclinic test technique and temporal and spatial transformation method, respectively. The equilibrium solution u₀=-1/6, a unique spatial--temporal bifurcation which is periodic bifurcation for KP-I and deflexion of soliton for KP-II, is investigated.

Keywords: 02.30.Jr 47.20.Ky 47.35.Fg 46.70.Lk

Received: 04 December 2006 Published: 17 May 2007

PACS:	02.30.Jr	(Partial differential equations)
	47.20.Ky	(Nonlinearity, bifurcation, and symmetry breaking)
	47.35.Fg	(Solitary waves)
	46.70.Lk	(Other structures)

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	DAI Zheng-De
	LI Shao-Lin
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	ZHU Ai-Jun

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