Integrable Systems and Rank One Conditions for Rectangular Matrices

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dc.creatorGekhtman, Michael
dc.creatorKasman, Alex
dc.date2004-08-24
dc.date.accessioned2026-07-07T04:31:24Z
dc.date.available2026-07-07T04:31:24Z
dc.descriptionWe provide a determinantal formula for tau-functions of the KP hierarchy in terms of rectangular, constant matrices $A$, $B$ and $C$ satisfying a rank one condition. This result is shown to generalize and unify many previous results of different authors on constructions of tau-functions for differential and difference integrable systems from square matrices satisfying rank one conditions. In particular, it contains as explicit special cases the formula of Wilson for tau-functions of rational KP solutions in terms of Calogero-Moser Lax matrices as well as our previous formula for KP tau functions in terms of almost-intertwining matrices.
dc.identifierhttps://arxiv.org/abs/math-ph/0408038
dc.identifierhttp://arxiv.org/abs/math-ph/0408038
dc.identifierTheoretical and Mathematical Physics 133(2): 1498-1503 (2002)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57803
dc.subjectMathematical Physics
dc.subject81R12; 35Q53
dc.titleIntegrable Systems and Rank One Conditions for Rectangular Matrices
dc.typetext

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