Multi-Component Extension of CAC Systems

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Authors: Zhang, Dan-Da, van der Kamp, Peter H., Zhang, Da-Jun
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210690
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Multi-Component Extension of CAC Systems. Dan-Da Zhang, Peter H. van der Kamp and Da-Jun Zhang. SIGMA 16 (2020), 060, 30 pages

In this paper, an approach to generate multidimensionally consistent N-Component systems is proposed. The approach starts from scalar multidimensionally consistent quadrilateral systems and makes use of the cyclic group. The obtained N-component systems inherit integrable features such as Bäcklund t...