IKCEST

Symmetry, Integrability and Geometry: Methods and Applications | Vol.5, Issue. | 2017-06-14 | Pages

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

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.

Original Text (This is the original text for your reference.)

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

+More

Keywords

matrix linear system colehopf transformation multicomponent linear heat hierarchy

Cite this article

APA

MLA

Chicago

,.Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System. 5 (),.

References

Disclaimer: The translated content is provided by third-party translation service providers, and IKCEST shall not assume any responsibility for the accuracy and legality of the content.