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Symmetry, Integrability and Geometry: Methods and Applications, 2020, Volume 16, 060, 30 pp.
DOI: https://doi.org/10.3842/SIGMA.2020.060
(Mi sigma1597)
 

This article is cited in 12 scientific papers (total in 12 papers)

Multi-Component Extension of CAC Systems

Dan-Da Zhanga, Peter H. van der Kampb, Da-Jun Zhangc

a School of Mathematics and Statistics, Ningbo University, Ningbo 315211, P.R. China
b Department of Mathematics and Statistics, La Trobe University, Victoria 3086, Australia
c Department of Mathematics, Shanghai University, Shanghai 200444, P.R. China
References:
Abstract: In this paper an approach to generate multi-dimensionally consistent $N$-component 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.
Keywords: lattice equations, consistency around the cube, cyclic group, multi-component, Lax pair, Bäcklund transformation, nonlocal.
Funding agency Grant number
National Natural Science Foundation of China 11875040
11631007
11801289
La Trobe University
K.C. Wong Magna Fund
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.
Received: December 7, 2019; in final form June 14, 2020; Published online July 1, 2020
Bibliographic databases:
Document Type: Article
MSC: 37K60
Language: English
Citation: Dan-Da Zhang, Peter H. van der Kamp, Da-Jun Zhang, “Multi-Component Extension of CAC Systems”, SIGMA, 16 (2020), 060, 30 pp.
Citation in format AMSBIB
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\by Dan-Da~Zhang, Peter~H.~van der Kamp, Da-Jun~Zhang
\paper Multi-Component Extension of CAC Systems
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\yr 2020
\vol 16
\papernumber 060
\totalpages 30
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  • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Symmetry, Integrability and Geometry: Methods and Applications
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