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

Yildirim Ozgur; Caglak Sumeyra

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

机译：非线性正弦戈登方程差分方程的谎言对称

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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.

机译：提出了一种用于获得非线性正弦戈坦方程差分方案的Lie点对称的过程。涉及了用于等式的第一阶的第一阶的不变离散化。对称变换在差分方案和格子上起作用，并留下解决方案集的差分方案不变。

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来源
《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2019年第8期|共6页
作者
Yildirim Ozgur; Caglak Sumeyra;
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作者单位

Yildiz Tech Univ Dept Math TR-34210 Istanbul Turkey;

Yildiz Tech Univ Dept Math TR-34210 Istanbul Turkey;

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原文格式 PDF
正文语种 eng
中图分类物理学;
关键词
Lie symmetry analysis; difference equations; finite difference schemes; Lie point symmetries of difference equations; partial difference equations;

机译：LIE对称性分析;差分方程;有限差分方案;差分方程的LIE点对称;部分差分方程;

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专利

1. Lie point symmetries of difference equations for the nonlinear sine-Gordon equation [J] . Yildirim Ozgur, Caglak Sumeyra Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2019,第8期

机译：非线性正弦戈登方程差分方程的谎言对称
2. An implicit Lie-group iterative scheme for solving the nonlinear Klein-Gordon and sine-Gordon equations [J] . Chih-Wen Chang, Chein-Shan Liu Applied Mathematical Modelling . 2016,第2期

机译：求解非线性Klein-Gordon和Sine-Gordon方程的隐式Lie-group迭代方案
3. Conditional Lie-Backlund symmetries and differential constraints for inhomogeneous nonlinear diffusion equations due to linear determining equations [J] . Ji Lina Journal of Mathematical Analysis and Applications . 2016,第1期

机译：线性确定方程对非齐次非线性扩散方程的条件Lie-Backlund对称性和微分约束
4. Discrete Lie Symmetries for Difference Equations [C] . D. Levi, M. A. Rodriguez Workshop on Group Theory and Numerical Analysis . 2005

机译：差分方程的离散谎言对称性
5. Painleve analysis, Lie symmetries and integrability of nonlinear ordinary differential equations. [D] . Lu, Yixia. 2005

机译：非线性常微分方程的Painleve分析，Lie对称性和可积性。
6. Lie symmetries of systems of second-order linear ordinary differential equations with constant coefficients [O] . Vyacheslav M. Boyko, Roman O. Popovych, Nataliya M. Shapoval -1

机译：常系数二阶线性常微分方程组的Lie对称性
7. Lie Symmetries, qualitative analysis and exact solutions of nonlinear Schr"odinger equations with inhomogeneous nonlinearities [O] . Belmonte-Beitia, J., Perez-Garcia, V. M., Vekslerchik, V., 2008

机译：Lie对称性，定性分析和非线性的精确解具有非齐次非线性的schr \“odinger方程

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

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