Lie Point Symmetries and Exact Solutions of the Coupled Volterra System

doi:10.1088/0256-307X/27/2/020202

Chin. Phys. Lett.

2010, Vol. 27

Issue (2): 020202 DOI: 10.1088/0256-307X/27/2/020202

GENERAL

Lie Point Symmetries and Exact Solutions of the Coupled Volterra System

LIU Ping¹, LOU Sen-Yue^2,3

¹Department of Electronic Engineering, University of Electronic Science and Technology of China Zhongshan Institute, Zhongshan 528402²Department of Physics, Shanghai Jiao Tong University, Shanghai 200240³Faculty of Science, Ningbo University, Ningbo 315211

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LIU Ping, LOU Sen-Yue 2010 Chin. Phys. Lett. 27 020202

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Abstract The coupled Volterra system, an integrable discrete form of a coupled Korteweg-de Vries (KdV) system applied widely in fluids, Bose-Einstein condensation and atmospheric dynamics, is studied with the help of the Lie point symmetries. Two types of delayed differential reduction systems are derived from the coupled Volterra system by means of the symmetry reduction approach and symbolic computation. Cnoidal wave and solitary wave solutions for a delayed differential reduction system and the coupled Volterra system are proposed, respectively.

Keywords: 02.30.Ik 05.45.Yv 02.20.Sv 05.50.+q

Received: 09 November 2009 Published: 08 February 2010

PACS:	02.30.Ik	(Integrable systems)
	05.45.Yv	(Solitons)
	02.20.Sv	(Lie algebras of Lie groups)
	05.50.+q	(Lattice theory and statistics)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/27/2/020202 OR https://cpl.iphy.ac.cn/Y2010/V27/I2/020202

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	LIU Ping
	LOU Sen-Yue

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