Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems

• Опубліковано в: Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2012
• ISSN: 1815-0659
• Автори: Miki, H., Goda, H., Tsujimoto, S.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2012
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/148373
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems / H. Miki, H. Goda, S. Tsujimoto // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 27 назв. — англ.

Discrete spectral transformations of skew orthogonal polynomials are presented. From these spectral transformations, it is shown that the corresponding discrete integrable systems are derived both in 1+1 dimension and in 2+1 dimension. Especially in the (2+1)-dimensional case, the corresponding syst...