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
相关论文
共 50 条
  • [1] Classification of discrete systems on a square lattice
    Hernandez Heredero, R.
    Levi, D.
    Scimiterna, C.
    THEORETICAL AND MATHEMATICAL PHYSICS, 2012, 172 (02) : 1097 - 1108
  • [2] Classification of discrete equations linearizable by point transformation on a square lattice
    Scimiterna, Christian
    Levi, Decio
    FRONTIERS OF MATHEMATICS IN CHINA, 2013, 8 (05) : 1067 - 1076
  • [3] Classification of discrete equations linearizable by point transformation on a square lattice
    Christian Scimiterna
    Decio Levi
    Frontiers of Mathematics in China, 2013, 8 : 1067 - 1076
  • [4] CLASSIFICATION OF SQUARE LATTICE CELLULAR AUTOMATA
    STAUFFER, D
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1989, 157 (02) : 645 - 655
  • [5] ON SERIES OF DARBOUX INTEGRABLE DISCRETE EQUATIONS ON SQUARE LATTICE
    Garifullin, R. N.
    Yamilov, R., I
    UFA MATHEMATICAL JOURNAL, 2019, 11 (03): : 99 - 108
  • [6] Continuum limit of discrete Sommerfeld problems on square lattice
    Sharma, Basant Lal
    SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES, 2017, 42 (05): : 713 - 728
  • [7] Continuum limit of discrete Sommerfeld problems on square lattice
    BASANT LAL SHARMA
    Sādhanā, 2017, 42 : 713 - 728
  • [8] Discrete Breathers in a Square Lattice Based on Delocalized Modes
    Naumov, E. K.
    Bebikhov, Yu. V.
    Dmitriev, S. V.
    PHYSICS OF THE SOLID STATE, 2023, 65 (01) : 6 - 11
  • [9] Discrete Breathers in a Square Lattice Based on Delocalized Modes
    E. K. Naumov
    Yu. V. Bebikhov
    S. V. Dmitriev
    Physics of the Solid State, 2023, 65 : 6 - 11
  • [10] Single transition of discrete Laplacian roughening model on a square lattice
    Lee, Jae Hwan
    Kim, Jin Min
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2022, 2022 (02):
12345