Bispectrality of N-Component KP Wave Functions: A Study in Non-Commutativity

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2015
• Main Author: Kasman, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147157
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Bispectrality of N-Component KP Wave Functions: A Study in Non-Commutativity / A. Kasman // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 33 назв. — англ.

A wave function of the N-component KP Hierarchy with continuous flows determined by an invertible matrix H is constructed from the choice of an MN-dimensional space of finitely-supported vector distributions. This wave function is shown to be an eigenfunction for a ring of matrix differential operat...