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

Xin Wang; Yong Chen; Zhong Zhou Dong

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

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

Xin Wang
, Yong Chen^*
, Zhong Zhou Dong

^*此作品的通讯作者

数学科学学院

East China Normal University
Henan Polytechnic University

科研成果: 期刊稿件 › 文章 › 同行评审

10 引用（Scopus）

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.

源语言	英语
文章编号	010201
期刊	Chinese Physics B
卷	23
期	1
DOI	https://doi.org/10.1088/1674-1056/23/1/010201
出版状态	已出版 - 1月 2014

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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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AU - Chen, Yong

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N2 - 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.

AB - 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.

KW - BlaszakMarciniak four-field lattice

KW - conservation laws

KW - explicit solution

KW - symmetries

UR - https://www.scopus.com/pages/publications/84893201962

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DO - 10.1088/1674-1056/23/1/010201

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

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