Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System
Exactly Solvable and Integrable Systems
2009-01-08 v2
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.
Keywords
Cite
@article{arxiv.0811.0110,
title = {Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System},
author = {Aristophanes Dimakis and Folkert Müller-Hoissen},
journal= {arXiv preprint arXiv:0811.0110},
year = {2009}
}
Comments
18 pages, 4 figures