Lie point symmetries of difference equations for the nonlinear sine-Gordon equation

被引：9

作者：

Yildirim, Ozgur ^{[1
]}

Caglak, Sumeyra ^{[1
]}

机构：

[1] Yildiz Tech Univ, Dept Math, TR-34210 Istanbul, Turkey

来源：

PHYSICA SCRIPTA | 2019年 / 94卷 / 08期

关键词：

Lie symmetry analysis; difference equations; finite difference schemes; Lie point symmetries of difference equations; partial difference equations; SIMILARITY REDUCTIONS; CONSERVATION-LAWS; NONLOCAL SYMMETRY;

D O I：

10.1088/1402-4896/ab1180

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A procedure for obtaining the Lie point symmetries of a difference scheme for a nonlinear sine-Gordan equation is presented. The invariant discretization of the first order of accuracy difference scheme for the equation is concerned. The symmetry transformations act both on the difference scheme and lattices, and leave the solution set of the difference scheme invariant.

引用

页数：6

共 38 条

[1] Conservation laws of coupled semilinear wave equations [J].

Anco, Stephen C. ;

Khalique, Chaudry Masood .

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2016, 30 (28-29)

[2]

[Anonymous], 2011, APPL LIE GROUPS DIFF

[3]

[Anonymous], 1982, GROUP ANAL DIFFERENT, DOI DOI 10.1016/C2013-0-07470-1

[4] ON MULTIPOINT NONLOCAL BOUNDARY VALUE PROBLEMS FOR HYPERBOLIC DIFFERENTIAL AND DIFFERENCE EQUATIONS [J].

Ashyralyev, Allaberen ;

Yildirim, Ozgur .

TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (01) :165-194

[5]

Baumann Gerd, 2000, Symmetry analysis of differential equations with Mathematica

[6]

Bluman G.W., 2013, Symmetries and differential equations, V81

[7]

Bour E., 1862, Journal de l'Ecole Imperiale Polytechnique, V22, P1

[8] Lie point symmetry preserving discretizations for variable coefficient Korteweg-de Vries equations [J].

Dorodnitsyn, V ;

Winternitz, P .

NONLINEAR DYNAMICS, 2000, 22 (01) :49-59

[9] A heat transfer with a source: the complete set of invariant difference schemes [J].

Dorodnitsyn, V ;

Kozlov, R .

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2003, 10 (01) :16-50

[10]

DORODNITSYN V, 2001, LIE GROUP PROPERTIES

← 1 2 3 4 →