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

• Datum: 2012
• Hauptverfasser: Miki, H., Goda, H., Tsujimoto, S.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут математики НАН України 2012
• Schriftenreihe: Symmetry, Integrability and Geometry: Methods and Applications
• Online Zugang: http://dspace.nbuv.gov.ua/handle/123456789/148373
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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...