A Revisit to the ABS H2 Equation

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2021
• Автори: Cho, Aye Aye, Mesfun, Maebel, Zhang, Da-Jun
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2021
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/211434
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: 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 𝑆⁽⁰’⁰⁾ and 𝑆⁽¹’⁰⁾ variables in the Cauchy matrix scheme. We elaborate the coupled quad-system of 𝑆⁽⁰’⁰⁾ and 𝑆⁽¹’⁰⁾ in terms of their 3-dimensional consistency, Lax pair, bilinear form, and conti...