Non-Point Invertible Transformations and Integrability of Partial Difference Equations

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2014
• Автор: Startsev, S.Y.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут математики НАН України 2014
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/146625
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Non-Point Invertible Transformations and Integrability of Partial Difference Equations / S.Y. Startsev // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 18 назв. — англ.

This article is devoted to the partial difference quad-graph equations that can be represented in the form φ(u(i+1,j),u(i+1,j+1))=ψ(u(i,j),u(i,j+1)), where the map (w,z)→(φ(w,z),ψ(w,z)) is injective. The transformation v(i,j)=φ(u(i,j),u(i,j+1)) relates any of such equations to a quad-graph equation....