Gauge Transformations and Weak Lax Equation

Simple item page
dc.creatorFukuyama, Takeshi
dc.creatorKamimura, Kiyoshi
dc.creatorToda, Kouichi
dc.date2001-08-24
dc.date.accessioned2026-07-07T05:33:40Z
dc.date.available2026-07-07T05:33:40Z
dc.descriptionWe consider several integrable systems from a standpoint of the SL(2,R) invariant gauge theory. In the Drinfeld-Sokorov gauge, we get a one parameter family of nonlinear equations from zero curvature conditions. For each value of the parameter the equation is described by weak Lax equations. It is transformed to a set of coupled equations which pass the Painlevé test and are integrable for any integer values of the parameter. Performing successive gauge transformations (the Miura transformations) on the system of equations we obtain a series of nonlinear equations.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/nlin/0108043
dc.identifierhttp://arxiv.org/abs/nlin/0108043
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80078
dc.subjectExactly Solvable and Integrable Systems
dc.titleGauge Transformations and Weak Lax Equation
dc.typetext

Files

Collections

arXiv