C-Integrability Test for Discrete Equations via Multiple Scale Expansions

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2010
• Автори: Scimiterna, C., Levi, D.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2010
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/146506
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: C-Integrability Test for Discrete Equations via Multiple Scale Expansions / C. Scimiterna, D. Levi // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 27 назв. — англ.

In this paper, we are extending the well-known integrability theorems obtained by multiple scale techniques to the case of linearizable difference equations. As an example, we apply the theory to the case of a differential-difference dispersive equation of the Burgers hierarchy which via a discrete...