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27 April 2024

» arxiv » 0811.0110

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Multicomponent Burgers and KP hierarchies, and solutions from a matrix linear system
Aristophanes Dimakis ; Folkert Muller-Hoissen ;
Date:	1 Nov 2008
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.
Source:	arXiv, 0811.0110
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