A Revisit to the ABS H2 Equation

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• ISSN: 1815-0659
• Main Authors: Cho, Aye Aye, Mesfun, Maebel, Zhang, Da-Jun
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211434
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A Revisit to the ABS H2 Equation. Aye Aye Cho, Maebel Mesfun and Da-Jun Zhang. SIGMA 17 (2021), 093, 19 pages

In this paper, we revisit the Adler-Bobenko-Suris H2 equation. The H2 equation is linearly related to the ⁽⁰’⁰⁾ and ⁽¹’⁰⁾ variables in the Cauchy matrix scheme. We elaborate the coupled quad-system of ⁽⁰’⁰⁾ and ⁽¹’⁰⁾ in terms of their 3-dimensional consistency, Lax pair, bilinear form, and continuum...