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^*

^*此作品的通讯作者

数学科学学院

East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

7 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	573-578
页数	6
期刊	Communications in Theoretical Physics
卷	59
期	5
DOI	https://doi.org/10.1088/0253-6102/59/5/10
出版状态	已出版 - 5月 2013

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10.1088/0253-6102/59/5/10

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引用此

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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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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.

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KW - discretization

KW - potential systems

KW - symmetry-preserving

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

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The using of conservation laws in symmetry-preserving difference scheme

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