Symmetries and conservation laws of one Blaszak–Marciniak four-field lattice equation

doi:10.1088/1674-1056/23/1/010201

Abstract In this paper, by using the classical Lie symmetry approach, Lie point symmetries and reductions of one Blaszak–Marciniak (BM) four-field lattice equation are obtained. Two kinds of exact solutions of a rational form and an exponential form are given. Moreover, we show that the equation has a sequence of generalized symmetries and conservation laws of polynomial form, which further confirms the integrability of the BM system.

Keywords: Blaszak– Marciniak four-field lattice symmetries explicit solution conservation laws

Received: 21 January 2013
Revised: 31 May 2013
Accepted manuscript online:

PACS:	02.20.Hj	(Classical groups)
	02.30.Ik	(Integrable systems)
	05.45.Yv	(Solitons)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11075055 and 11275072), the Innovative Research Team Program of the National Science Foundation of China (Grant No. 61021104), the National High Technology Research and Development Program of China (Grant No. 2011AA010101), the Shanghai Knowledge Service Platform for Trustworthy Internet of Things, China (Grant No. ZF1213), the Doctor Foundation of Henan Polytechnic University, China (Grant No. B2011-006), the Youth Foundation of Henan Polytechnic University, China (Grant No. Q2012-30A), and the Science and Technology Research Key Project of Education Department of Henan Province, China (Grant No. 13A110329).

Corresponding Authors: Chen Yong
E-mail: ychen@sei.ecnu.edu.cn

Cite this article:

Wang Xin (王鑫), Chen Yong (陈勇), Dong Zhong-Zhou (董仲周) Symmetries and conservation laws of one Blaszak–Marciniak four-field lattice equation 2014 Chin. Phys. B 23 010201

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Symmetries and conservation laws of one Blaszak–Marciniak four-field lattice equation

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