A symmetry-preserving difference scheme for high dimensional nonlinear evolution equations

Xiang Peng Xin; Yong Chen; Yun Hu Wang

doi:10.1088/1674-1056/22/6/060201

A symmetry-preserving difference scheme for high dimensional nonlinear evolution equations

Xiang Peng Xin
, Yong Chen^*
, Yun Hu Wang

^*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

3 引用（Scopus）

摘要

In this paper, a procedure for constructing discrete models of the high dimensional nonlinear evolution equations is presented. In order to construct the difference model, with the aid of the potential system of the original equation and compatibility condition, the difference equations which preserve all Lie point symmetries can be obtained. As an example, invariant difference models of the (2+1)-dimensional Burgers equation are presented.

源语言	英语
文章编号	060201
期刊	Chinese Physics B
卷	22
期	6
DOI	https://doi.org/10.1088/1674-1056/22/6/060201
出版状态	已出版 - 6月 2013

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10.1088/1674-1056/22/6/060201

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title = "A symmetry-preserving difference scheme for high dimensional nonlinear evolution equations",

abstract = "In this paper, a procedure for constructing discrete models of the high dimensional nonlinear evolution equations is presented. In order to construct the difference model, with the aid of the potential system of the original equation and compatibility condition, the difference equations which preserve all Lie point symmetries can be obtained. As an example, invariant difference models of the (2+1)-dimensional Burgers equation are presented.",

keywords = "Lie point symmetry, difference equation, potential systems, symmetry-preserving",

author = "Xin, \{Xiang Peng\} and Yong Chen and Wang, \{Yun Hu\}",

year = "2013",

month = jun,

doi = "10.1088/1674-1056/22/6/060201",

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volume = "22",

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T1 - A symmetry-preserving difference scheme for high dimensional nonlinear evolution equations

AU - Xin, Xiang Peng

AU - Chen, Yong

AU - Wang, Yun Hu

PY - 2013/6

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N2 - In this paper, a procedure for constructing discrete models of the high dimensional nonlinear evolution equations is presented. In order to construct the difference model, with the aid of the potential system of the original equation and compatibility condition, the difference equations which preserve all Lie point symmetries can be obtained. As an example, invariant difference models of the (2+1)-dimensional Burgers equation are presented.

AB - In this paper, a procedure for constructing discrete models of the high dimensional nonlinear evolution equations is presented. In order to construct the difference model, with the aid of the potential system of the original equation and compatibility condition, the difference equations which preserve all Lie point symmetries can be obtained. As an example, invariant difference models of the (2+1)-dimensional Burgers equation are presented.

KW - Lie point symmetry

KW - difference equation

KW - potential systems

KW - symmetry-preserving

UR - https://www.scopus.com/pages/publications/84880527291

U2 - 10.1088/1674-1056/22/6/060201

DO - 10.1088/1674-1056/22/6/060201

M3 - 文章

AN - SCOPUS:84880527291

SN - 1674-1056

VL - 22

JO - Chinese Physics B

JF - Chinese Physics B

IS - 6

M1 - 060201

ER -

A symmetry-preserving difference scheme for high dimensional nonlinear evolution equations

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