| Symmetries and conservation laws of one Blaszak–Marciniak four-field lattice equation |
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| 引用本文： | 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. DOI: 10.1088/1674-1056/23/1/010201 |
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| 作者姓名： | 王鑫 陈勇 董仲周 |
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| 作者单位： | 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 |
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| 基金项目： | 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);the Science and Technology Research Key Project of Education Department of Henan Province,China(Grant No.13A110329) |
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| 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.
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| 关 键 词： | Blaszak–Marciniak four-field lattice symmetries explicit solution conservation laws |
| 收稿时间： | 2013-01-21 |
Symmetries and conservation laws of one Blaszak–Marciniak four-field lattice equation |
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| Wang Xin,Chen Yong,Dong Zhong-Zhou. Symmetries and conservation laws of one Blaszak–Marciniak four-field lattice equation[J]. Chinese Physics B, 2014, 23(1): 10201-010201. DOI: 10.1088/1674-1056/23/1/010201 |
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| Authors: | Wang Xin Chen Yong Dong Zhong-Zhou |
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| Affiliation: | 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 |
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| 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. |
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| Keywords: | Blaszak&ndash Marciniak four-field lattice symmetries explicit solution conservation laws |
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