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

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

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.

Original language	English
Article number	010201
Journal	Chinese Physics B
Volume	23
Issue number	1
DOIs	https://doi.org/10.1088/1674-1056/23/1/010201
State	Published - Jan 2014

Keywords

BlaszakMarciniak four-field lattice
conservation laws
explicit solution
symmetries

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10.1088/1674-1056/23/1/010201

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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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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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JO - Chinese Physics B

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

Abstract

Keywords

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