Deformations of the KdV hierarchy and related soliton equations

dc.creatorFrenkel, Edward
dc.date1995-11-06
dc.date.accessioned2026-07-07T09:16:43Z
dc.date.available2026-07-07T09:16:43Z
dc.descriptionWe define hierarchies of differential--q-difference equations, which are q-deformations of the equations of the generalized KdV hierarchies. We show that these hierarchies are bihamiltonian, one of the hamiltonian structures being that of the q-deformed classical W-algebra of sl(N), defined by Reshetikhin and the author. We also find q-deformations of the mKdV hierarchies and the affine Toda equations.
dc.description19 pages, AMSLATEX
dc.identifierhttps://arxiv.org/abs/q-alg/9511003
dc.identifierhttp://arxiv.org/abs/q-alg/9511003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153455
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.titleDeformations of the KdV hierarchy and related soliton equations
dc.typetext

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