Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System ⋆
by
Aristophanes Dimakis
,
Folkert Müller-hoissen
| Citations: | 1 - 0 self |
BibTeX
@MISC{Dimakis_multicomponentburgers,
author = {Aristophanes Dimakis and Folkert Müller-hoissen},
title = {Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System ⋆},
year = {}
}
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Abstract
Abstract. Via 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.
