Dispersionless limit of the noncommutative potential KP hierarchy and solutions of the pseudodual chiral model in 2+1 dimensions

Simple item page
dc.creatorDimakis, Aristophanes
dc.creatorMuller-Hoissen, Folkert
dc.date2007-06-10
dc.date2008-06-12
dc.date.accessioned2026-07-07T09:43:50Z
dc.date.available2026-07-07T09:43:50Z
dc.descriptionThe usual dispersionless limit of the KP hierarchy does not work in the case where the dependent variable has values in a noncommutative (e.g. matrix) algebra. Passing over to the potential KP hierarchy, there is a corresponding scaling limit in the noncommutative case, which turns out to be the hierarchy of a `pseudodual chiral model' in 2+1 dimensions (`pseudodual' to a hierarchy extending Ward's (modified) integrable chiral model). Applying the scaling procedure to a method generating exact solutions of a matrix (potential) KP hierarchy from solutions of a matrix linear heat hierarchy, leads to a corresponding method that generates exact solutions of the matrix dispersionless potential KP hierarchy, i.e. the pseudodual chiral model hierarchy. We use this result to construct classes of exact solutions of the su(m) pseudodual chiral model in 2+1 dimensions, including various multiple lump configurations.
dc.description37 pages, 10 figures, 2nd version: some extensions (Fig 3, Appendix A, additional references), 3rd version: some minor changes, additional references
dc.identifierhttps://arxiv.org/abs/0706.1373
dc.identifierhttp://arxiv.org/abs/0706.1373
dc.identifierJ. Phys. A: Math. Theor. 41 (2008) 265205
dc.identifierdoi:10.1088/1751-8113/41/26/265205
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162661
dc.subjectExactly Solvable and Integrable Systems
dc.titleDispersionless limit of the noncommutative potential KP hierarchy and solutions of the pseudodual chiral model in 2+1 dimensions
dc.typetext

Files

Collections

arXiv