Bi-Hamiltonian Aspects of a Matrix Harry Dym Hierarchy

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We study the Harry Dym hierarchy of nonlinear evolution equations from the bi-Hamiltonian view point. This is done by using the concept of an S-hierarchy. It allows us to define a matrix Harry Dym hierarchy of commuting Hamiltonian flows in two fields that projects onto the scalar Harry Dym hierarchy. We also show that the conserved densities of the matrix Harry Dym equation can be found by means of a Riccati-type equation.
Revised version, 22 pages; a section on reciprocal transformations added. To appear in J. Math. Phys.

Keywords

Exactly Solvable and Integrable Systems

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/169256

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0612002
 http://arxiv.org/abs/nlin/0612002

Collections

arXiv