Groups Analysis and Localized Solutions of the (2+1)-Dimensional Ito Equation

doi:10.1088/0256-307X/32/7/070201

Chin. Phys. Lett.

2015, Vol. 32

Issue (07): 070201 DOI: 10.1088/0256-307X/32/7/070201

GENERAL

Groups Analysis and Localized Solutions of the (2+1)-Dimensional Ito Equation

HU Xiao-Rui^1**, CHEN Jun-Chao², CHEN Yong²

¹Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023
²Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062

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HU Xiao-Rui, CHEN Jun-Chao, CHEN Yong 2015 Chin. Phys. Lett. 32 070201

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Abstract By means of the modified Clarkson and Kruskal (CK) direct method and the variable separation approach, we investigate the (2+1)-dimensional Ito equation which was constructed by Ito in 1980. The full symmetry group with the Kac–Moody–Virasoro algebra structure and the variable separation solutions are obtained. By selecting appropriate arbitrary functions, some special soliton excitations are shown graphically. The results presented here would be beneficial for understanding the (2+1)-dimensional Ito equation better.

Received: 09 February 2015 Published: 30 July 2015

PACS:	02.20.-a	(Group theory)
	04.20.Jb	(Exact solutions)
	02.30.Jr	(Partial differential equations)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/32/7/070201 OR https://cpl.iphy.ac.cn/Y2015/V32/I07/070201

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