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

Article, Preprint English OPEN
Jingsong He; Yinghua Li; Yi Cheng;
  • Publisher: Інститут математики НАН України
  • Journal: issn: 1815-0659
  • Publisher copyright policies & self-archiving
  • Identifiers: doi: 10.3842/SIGMA.2006.060
  • Subject: Mathematical Physics | $q$-KP hierarchy | Mathematics | Nonlinear Sciences - Exactly Solvable and Integrable Systems | Gauge transformation operator | $q$-deformation | QA1-939 | $au$ function | $q$-cKP hierarchy
    arxiv: Nonlinear Sciences::Exactly Solvable and Integrable Systems

Using the determinant representation of gauge transformation operator, we have shown that the general form of $au$ 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 thes... View more
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