Elliptic Families of Solutions of the Kadomtsev-Petviashvili Equation and the Field Elliptic Calogero-Moser System

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dc.creatorAkhmetshin, A.
dc.creatorKrichever, I.
dc.creatorVolvovski, Yu.
dc.date2002-03-21
dc.date.accessioned2026-07-07T04:13:17Z
dc.date.available2026-07-07T04:13:17Z
dc.descriptionWe present the Lax pair for the field elliptic Calogero-Moser system and establish a connection between this system and the Kadomtsev-Petviashvili equation. Namely, we consider elliptic families of solutions of the KP equation, such that their poles satisfy a constraint of being balanced. We show that the dynamics of these poles is described by a reduction of the field elliptic CM system. We construct a wide class of solutions to the field elliptic CM system by showing that any N-fold branched cover of an elliptic curve gives rise to an elliptic family of solutions of the KP equation with balanced poles.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0203192
dc.identifierhttp://arxiv.org/abs/hep-th/0203192
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51203
dc.subjectHigh Energy Physics - Theory
dc.subjectExactly Solvable and Integrable Systems
dc.titleElliptic Families of Solutions of the Kadomtsev-Petviashvili Equation and the Field Elliptic Calogero-Moser System
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