Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System

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dc.creatorDimakis, Aristophanes
dc.creatorMüller-Hoissen, Folkert
dc.date2008-11-01
dc.date2009-01-08
dc.date.accessioned2026-07-07T12:27:04Z
dc.date.available2026-07-07T12:27:04Z
dc.descriptionVia a Cole-Hopf transformation, the multicomponent linear heat hierarchy leads to a multicomponent Burgers hierarchy. We show in particular that any solution of the latter also solves a corresponding multicomponent (potential) KP hierarchy. A generalization of the Cole-Hopf transformation leads to a more general relation between the multicomponent linear heat hierarchy and the multicomponent KP hierarchy. From this results a construction of exact solutions of the latter via a matrix linear system.
dc.description18 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0811.0110
dc.identifierhttp://arxiv.org/abs/0811.0110
dc.identifierSIGMA 5 (2009), 002, 18 pages
dc.identifierdoi:10.3842/SIGMA.2009.002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215084
dc.subjectExactly Solvable and Integrable Systems
dc.titleMulticomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System
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