On symmetry-preserving difference scheme to a generalized Benjamin equation and third-order Burgers equation

被引：56

作者：

Ma, Pan-Li

Tian, Shou-Fu ^{[1
]}

Zhang, Tian-Tian

机构：

[1] China Univ Min & Technol, Dept Math, Xuzhou 221116, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2015年 / 50卷

关键词：

Generalized Benjamin equation; Third-order Burgers equation; Lie point symmetries; Symmetry-preserving; Invariant difference models; CONSERVATION-LAWS; LIE SYMMETRIES; REDUCTION;

D O I：

10.1016/j.aml.2015.06.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, an exposition of a method is presented for discretizing a generalized Benjamin equation and third-order Burgers equation while preserving their Lie point symmetries. By using local conservation laws, the potential systems of original equation are obtained, which can be used to construct the invariant difference models and symmetry-preserving difference models of original equation, respectively. Furthermore, this method is very effective and can be applied to discrete high-order nonlinear evolution equations. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：146 / 152

页数：7

共 27 条

[1] Symmetry-preserving difference schemes for some heat transfer equations [J].