The using of conservation laws in symmetry-preserving difference scheme

Xiang Peng Xin; Yong Chen

doi:10.1088/0253-6102/59/5/10

The using of conservation laws in symmetry-preserving difference scheme

Xiang Peng Xin
, Yong Chen^*

^*Corresponding author for this work

School of Mathematical Sciences

East China Normal University

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

7 Scopus citations

Abstract

In this paper, by means of the potential systems of the given nonlinear evolution equations, a procedure of symmetry preserving discretization of differential equations is presented. The specific process will be given detailed in section 2. This extended method is effective for discreting the high-order (high-dimensional) nonlinear evolution equations. As examples, the invariant difference models of the mKdV equation and the Boussinesq equation are constructed.

Original language	English
Pages (from-to)	573-578
Number of pages	6
Journal	Communications in Theoretical Physics
Volume	59
Issue number	5
DOIs	https://doi.org/10.1088/0253-6102/59/5/10
State	Published - May 2013

Keywords

Lie point symmetry
discretization
potential systems
symmetry-preserving

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10.1088/0253-6102/59/5/10

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title = "The using of conservation laws in symmetry-preserving difference scheme",

abstract = "In this paper, by means of the potential systems of the given nonlinear evolution equations, a procedure of symmetry preserving discretization of differential equations is presented. The specific process will be given detailed in section 2. This extended method is effective for discreting the high-order (high-dimensional) nonlinear evolution equations. As examples, the invariant difference models of the mKdV equation and the Boussinesq equation are constructed.",

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N2 - In this paper, by means of the potential systems of the given nonlinear evolution equations, a procedure of symmetry preserving discretization of differential equations is presented. The specific process will be given detailed in section 2. This extended method is effective for discreting the high-order (high-dimensional) nonlinear evolution equations. As examples, the invariant difference models of the mKdV equation and the Boussinesq equation are constructed.

AB - In this paper, by means of the potential systems of the given nonlinear evolution equations, a procedure of symmetry preserving discretization of differential equations is presented. The specific process will be given detailed in section 2. This extended method is effective for discreting the high-order (high-dimensional) nonlinear evolution equations. As examples, the invariant difference models of the mKdV equation and the Boussinesq equation are constructed.

KW - Lie point symmetry

KW - discretization

KW - potential systems

KW - symmetry-preserving

UR - https://www.scopus.com/pages/publications/84877946440

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DO - 10.1088/0253-6102/59/5/10

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JO - Communications in Theoretical Physics

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The using of conservation laws in symmetry-preserving difference scheme

Abstract

Keywords

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