Lie point symmetries of differential-difference equations

被引：17

作者：

Levi, D. ^{[1
,2
]}

Winternitz, P. ^{[3
,4
]}

Yamilov, R. I. ^{[5
]}

机构：

[1] Univ Roma Tre, Dipartimento Ingn Elettron, I-00146 Rome, Italy

[2] Sezione Ist Nazl Fis Nucl, I-00146 Rome, Italy

[3] Univ Montreal, Ctr Rech Math, Montreal, PQ H3C 3J7, Canada

[4] Univ Montreal, Dept Math & Stat, Montreal, PQ H3C 3J7, Canada

[5] Russian Acad Sci, Ufa Inst Math, Ufa 450008, Russia

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2010年 / 43卷 / 29期

基金：

加拿大自然科学与工程研究理事会; 俄罗斯基础研究基金会;

关键词：

INTEGRABILITY;

D O I：

10.1088/1751-8113/43/29/292002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present an algorithm for determining the Lie point symmetries of differential equations on fixed non-transforming lattices, i.e. equations involving both continuous and discrete-independent variables. The symmetries of a specific integrable discretization of the Krichever-Novikov equation, the Toda lattice and Toda field theory are presented as examples of the general method.

引用

页数：14

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