q-Deformed KP Hierarchy and q-Deformed Constrained KP Hierarchy

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2006
• Main Authors: He, Jingsong, Li, Yinghua, Cheng, Yi
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146112
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: q-Deformed KP Hierarchy and q-Deformed Constrained KP Hierarchy / Jingsong He, Yinghua Li, Yi Cheng // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 40 назв. — англ.

Using the determinant representation of gauge transformation operator, we have shown that the general form of τ function of the q-KP hierarchy is a q-deformed generalized Wronskian, which includes the q-deformed Wronskian as a special case. On the basis of these, we study the q-deformed constrained...