Classification of discrete systems on a square lattice

被引：0
|
作者：
R. Hernández Heredero
D. Levi
C. Scimiterna
机构：
[1] Escuela Universitaria de Ingeniería Técnica de Telecomunicación,Departamento de Matemática Aplicada, Universidad Politécnica de Madrid
[2] Università degli Studi Roma Tre and Sezione INFN,Dipartimento di Ingegneria Elettronica
[3] Roma Tre,undefined
来源：
Theoretical and Mathematical Physics | 2012年 / 172卷
关键词：
multiscale expansion; difference equation; integrable model; linearizable model;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider the classification up to a Möbius transformation of real linearizable and integrable partial difference equations with dispersion defined on a square lattice by the multiscale reduction around their harmonic solution. We show that the A1, A2, and A3 linearizability and integrability conditions constrain the number of parameters in the equation, but these conditions are insufficient for a complete characterization of the subclass of multilinear equations on a square lattice.
引用
收藏
页码：1097 / 1108
页数：11
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