Rational Solutions to the ABS List: Transformation Approach

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2017
• ISSN: 1815-0659
• Main Authors: Zhang, D., Zhang, D.J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149259
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Rational Solutions to the ABS List: Transformation Approach / D. Zhang, D.J. Zhang // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 22 назв. — англ.

In the paper we derive rational solutions for the lattice potential modified Korteweg-de Vries equation, and Q2, Q1(δ), H3(δ), H2 and H1 in the Adler-Bobenko-Suris list. Bäcklund transformations between these lattice equations are used. All these rational solutions are related to a unified τ functio...