Pfaffian-Type Soliton Solution to a Multi-Component Coupled Ito Equation

doi:10.1088/0256-307X/31/11/110502

Chin. Phys. Lett.

2014, Vol. 31

Issue (11): 110502 DOI: 10.1088/0256-307X/31/11/110502

GENERAL

Pfaffian-Type Soliton Solution to a Multi-Component Coupled Ito Equation

CHEN Jun-Chao^1,2, CHEN Yong¹, FENG Bao-Feng², ZHU Han-Min³

¹Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062
²Department of Mathematics, The University of Texas-Pan American, Edinburg TX 78541, USA
³Suzhou Institute of Trade and Commerce, Suzhou 215000

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CHEN Jun-Chao, CHEN Yong, FENG Bao-Feng et al 2014 Chin. Phys. Lett. 31 110502

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Abstract Multi-soliton solution to a multi-component coupled Ito system is investigated based on the Hirota bilinear method. By virtue of the perturbation method, we firstly derive one- and two-soliton solutions for the coupled Ito system possessing four components. Then the multi-soliton solution for the multi-component coupled Ito system is summarized into a general form expressed by pfaffians. Finally, this general pfaffian-type soliton solution is proved by pfaffian techniques.

Published: 28 November 2014

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

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https://cpl.iphy.ac.cn/10.1088/0256-307X/31/11/110502 OR https://cpl.iphy.ac.cn/Y2014/V31/I11/110502

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	CHEN Jun-Chao
	CHEN Yong
	FENG Bao-Feng
	ZHU Han-Min

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