Integrable discrete autonomous quad-equations admitting, as generalized symmetries, known five-point differential-difference equations

被引：0
|
作者：
Rustem N. Garifullin
Giorgio Gubbiotti
Ravil I. Yamilov
机构：
[1] Russian Academy of Sciences,Institute of Mathematics, Ufa Federal Research Centre
[2] The University of Sydney,School of Mathematics and Statistics, F07
来源：
Journal of Nonlinear Mathematical Physics | 2019年 / 26卷
关键词：
Integrability; Generalized symmetries; Quad-equations; 37L20; 37K10; 39A14;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we construct the autonomous quad-equations which admit as symmetries the five-point differential-difference equations belonging to known lists found by Garifullin, Yamilov and Levi. The obtained equations are classified up to autonomous point transformations and some simple non-autonomous transformations. We discuss our results in the framework of the known literature. There are among them a few new examples of both sine-Gordon and Liouville type equations.
引用
收藏
页码：333 / 357
页数：24
相关论文
共 50 条
  • [21] N soliton solution of integrable differential-difference equations
    Ito, M
    Konno, K
    Kakuhata, H
    [J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2005, 74 (07) : 1973 - 1979
  • [22] On geometric approach to Lie symmetries of differential-difference equations
    Li, Hong-Jing
    Wang, Deng-Shan
    Wang, Shi-Kun
    Wu, Ke
    Zhao, Wei-Zhong
    [J]. PHYSICS LETTERS A, 2008, 372 (37) : 5878 - 5882
  • [23] MASTER SYMMETRIES FOR DIFFERENTIAL-DIFFERENCE EQUATIONS OF THE VOLTERRA TYPE
    CHERDANTSEV, IY
    YAMILOV, RI
    [J]. PHYSICA D, 1995, 87 (1-4): : 140 - 144
  • [24] Transformations, symmetries and Noether theorems for differential-difference equations
    Peng, Linyu
    Hydon, Peter E.
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2022, 478 (2259):
  • [25] DISCRETE LAX EQUATIONS AND DIFFERENTIAL-DIFFERENCE CALCULUS
    KUPERSHMIDT, BA
    [J]. ASTERISQUE, 1985, (123) : 1 - &
  • [26] ALGORITHM FOR SOLUTION OF FIVE-POINT MATRIX DIFFERENCE EQUATIONS
    WEISS, HJ
    [J]. SIAM REVIEW, 1964, 6 (03) : 333 - &
  • [27] INTEGRABILITY OF DIFFERENTIAL-DIFFERENCE EQUATIONS WITH DISCRETE KINKS
    Scimiterna, C.
    Levi, D.
    [J]. THEORETICAL AND MATHEMATICAL PHYSICS, 2011, 167 (03) : 826 - 842
  • [28] Integrability of differential-difference equations with discrete kinks
    C. Scimiterna
    D. Levi
    [J]. Theoretical and Mathematical Physics, 2011, 167 : 826 - 842
  • [29] Discrete point symmetries of ordinary differential equations
    Hydon, PE
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1998, 454 (1975): : 1961 - 1972
  • [30] New Integrable Multicomponent Nonlinear Partial Differential-Difference Equations
    R. Sahadevan
    S. Balakrishnan
    [J]. Journal of Nonlinear Mathematical Physics, 2011, 18 : 501 - 518
12345