Integrable two-component systems of difference equations-Reference-Cited by-同舟云学术

Integrable two-component systems of difference equations

Published:2020-02 Issue:2234 Volume:476 Page:20190668
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Kassotakis Pavlos¹^ORCID,Nieszporski Maciej²,Papageorgiou Vassilios³,Tongas Anastasios³

Affiliation:

1. Department of Mathematics and Statistics, University of Cyprus, PO Box 20537, Nicosia 1678, Cyprus

2. Katedra Metod Matematycznych Fizyki, Wydział Fizyki, Uniwersytet Warszawski, ul. Pasteura 5, Warszawa 02-093, Poland

3. Department of Mathematics, University of Patras, Patras 26504, Greece

Abstract

We present two lists of two-component systems of integrable difference equations defined on the edges of the Z 2 graph. The integrability of these systems is manifested by their Lax formulation which is a consequence of the multi-dimensional compatibility of these systems. Imposing constraints consistent with the systems of difference equations, we recover known integrable quad-equations including the discrete version of the Krichever–Novikov equation. The systems of difference equations give us in turn quadrirational Yang–Baxter maps.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2019.0668

Reference48 articles.

1. Discrete Systems and Integrability

2. Graduate Studies in Mathematics;Bobenko AI,2008

3. Classification of Integrable Equations on Quad-Graphs. The Consistency Approach

4. Searching for CAC-maps

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Yang–Baxter maps of KdV, NLS and DNLS type on division rings;Physica D: Nonlinear Phenomena;2024-09

2. Matrix factorizations and pentagon maps;Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences;2023-12

3. Discrete integrable systems associated with relativistic collisions;Physica D: Nonlinear Phenomena;2023-12

4. Two-component Yang–Baxter maps and star-triangle relations;Physica D: Nonlinear Phenomena;2023-06

5. Non-Abelian hierarchies of compatible maps, associated integrable difference systems and Yang-Baxter maps;Nonlinearity;2023-03-30