On a direct approach to quasideterminant solutions of a noncommutative KP equation

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dc.creatorGilson, C. R.
dc.creatorNimmo, J. J. C.
dc.date2007-01-13
dc.date2007-01-16
dc.date.accessioned2026-07-07T07:41:04Z
dc.date.available2026-07-07T07:41:04Z
dc.descriptionA noncommutative version of the KP equation and two families of its solutions expressed as quasideterminants are discussed. The origin of these solutions is explained by means of Darboux and binary Darboux transformations. Additionally, it is shown that these solutions may also be verified directly. This approach is reminiscent of the wronskian technique used for the Hirota bilinear form of the regular, commutative KP equation but, in the noncommutative case, no bilinearising transformation is available.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/nlin/0701027
dc.identifierhttp://arxiv.org/abs/nlin/0701027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121969
dc.subjectExactly Solvable and Integrable Systems
dc.titleOn a direct approach to quasideterminant solutions of a noncommutative KP equation
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