Homoclinic Breather-Wave with Convective Effect for the (1+1)-Dimensional Boussinesq Equation

doi:10.1088/0256-307X/26/4/040203

Chin. Phys. Lett.

2009, Vol. 26

Issue (4): 040203 DOI: 10.1088/0256-307X/26/4/040203

GENERAL

Homoclinic Breather-Wave with Convective Effect for the (1+1)-Dimensional Boussinesq Equation

DAI Zheng-De^1,3, XIAN Da-Quan², LI Dong-Long³

¹School of Mathematics and Physics, Yunnan University, Kunming 650091²School of Science, Southwest University of Science and Technology, Mianyang 621010³Department of Information and Computing Science, Guangxi Institute of Technology, Liuzhou 545005

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DAI Zheng-De, XIAN Da-Quan, LI Dong-Long 2009 Chin. Phys. Lett. 26 040203

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Abstract A new type of two-wave solution, i.e. a homoclinic breather-wave solution with convective effect, for the (1+1)-dimensional Boussinesq equation is obtained using the extended homoclinic test method. Moreover, the mechanical feature of the wave solution is investigated and the phenomenon of homoclinic convection of the two-wave is exhibited on both sides of the equilibrium. These results enrich the dynamical behavior of (1+1)-dimensional nonlinear wave fields.

Keywords: 02.30.Jr 05.45.Yv 47.11.+j

Received: 06 January 2009 Published: 25 March 2009

PACS:	02.30.Jr	(Partial differential equations)
	05.45.Yv	(Solitons)
	47.11.+j

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https://cpl.iphy.ac.cn/10.1088/0256-307X/26/4/040203 OR https://cpl.iphy.ac.cn/Y2009/V26/I4/040203

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	LI Dong-Long

[1] Deift P, Tomei C and Trubowitz E 1982 Commun. PureAppl. Math. 35 567
[2]Bona J L and Sachs R L 1988 Comm. Math. Phys. 118 15
[3]Weiss J 1985 J. Math. Phys. 26 258
[4]Dai Z D, Huang J, Jiang M R and Wang S H 2005 Chaos,Solitons {\rm \& Fractals 26 1189
[5]Dai Z D, Jiang M R, Dai Q Y and Li S L 2006 Chin.Phys. Lett. 23 1065
[6]Hu X B, Guo B L and Tam H W 2003 J. Phys. Soc. Jpn. 72 189
[7]Dai Z D, Huang J and Jiang M R 2006 Phys. Lett. A 352 411
[8]Dai Z D and Huang J 2005 Chin. J. Phys. 43 349
[9]Dai Z D, Li Z T, Li D L and Liu Z J 2007 Chin. Phys.Lett. 24 1429
[10]Dai Z D, Li S L, Dai Q Y and Huang J 2007 Chaos,Solitons {\rm \& Fractals 34(4) 1148
[11]Dai Z D, Li Z T, Liu Z J and Li D L 2008 Phys. Lett.A 372 3010
[12]Dai Z D, Liu Z J and Li D L 2008 Chin. Phys. Lett. 25 1531
[13]Dai Z D, Liu J, Zeng X P and Liu Z J 2008 Phys.Lett. A 372 5984
[14]Hirota R 1971 Phys. Rev. Lett 27 1192

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