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

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

中国物理B ›› 2014, Vol. 23 ›› Issue (1): 10201-010201.doi: 10.1088/1674-1056/23/1/010201

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

王鑫^a, 陈勇^a, 董仲周^b

a Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China;
b School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454003, China

收稿日期:2013-01-21 修回日期:2013-05-31 出版日期:2013-11-12 发布日期:2013-11-12
基金资助:
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).

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

Wang Xin (王鑫)^a, Chen Yong (陈勇)^a, Dong Zhong-Zhou^b

a Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China;
b School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454003, China

Received:2013-01-21 Revised:2013-05-31 Online:2013-11-12 Published:2013-11-12
Contact: Chen Yong E-mail:ychen@sei.ecnu.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: Blaszak–, Marciniak four-field lattice, symmetries, explicit solution, conservation laws

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.

Key words: Blaszak–, Marciniak four-field lattice, symmetries, explicit solution, conservation laws

中图分类号: (Classical groups)

02.20.Hj

02.30.Ik (Integrable systems) 05.45.Yv (Solitons)

王鑫, 陈勇, 董仲周. Symmetries and conservation laws of one Blaszak–Marciniak four-field lattice equation[J]. 中国物理B, 2014, 23(1): 10201-010201.

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[J]. Chin. Phys. B, 2014, 23(1): 10201-010201.

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

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

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