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33. Multi-component CAC.pdf (1.06 MB)
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Multi-Component Extension of CAC Systems

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journal contribution
posted on 21.03.2022, 02:30 authored by Dan-Da Zhang, Pieter Van Der KampPieter Van Der Kamp, Da-Jun Zhang
In this paper an approach to generate multi-dimensionally consistent N-com-ponent systems is proposed. The approach starts from scalar multi-dimensionally consistent quadrilateral systems and makes use of the cyclic group. The obtained N-component systems inherit integrable features such as Bäcklund transformations and Lax pairs, and exhibit interesting aspects, such as nonlocal reductions. Higher order single component lattice equations (on larger stencils) and multi-component discrete Painlevé equations can also be derived in the context, and the approach extends to N-component generalizations of higher dimensional lattice equations.

Funding

This project is supported by the NSF of China (grant nos. 11875040, 11631007 and 11801289), the K.C. Wong Magna Fund in Ningbo University, and a CRSC grant from La Trobe University.

History

Publication Date

14/06/2020

Journal

Symmetry, Integrability and Geometry: Methods and Applications

Volume

16

Article Number

060

Pagination

30p.

Publisher

Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine

ISSN

1815-0659

Rights Statement

The authors retain the copyright for their papers published in SIGMA under the terms of the Creative Commons Attribution-ShareAlike License: https://creativecommons.org/licenses/by-sa/4.0/