Properties of Moyal-Lax Representation
High Energy Physics - Theory
2011-07-19 v2 Exactly Solvable and Integrable Systems
Abstract
The Moyal-Lax representation and the Moyal momentum algebra are introduced and systematically investigated. It is shown that the Moyal-Lax equation can be interpreted as a Hamiltonian equation and can be derived from an action. We show that the parameter of non-commutativity, in this case, is related to the central charge of the second Hamiltonian structure of the system. The Moyal-Lax description leads in a natural manner to the dispersionless limit and provides the second Hamiltonian structure of dispersionless integrable models, which has been an open question for sometime.
Cite
@article{arxiv.hep-th/0103063,
title = {Properties of Moyal-Lax Representation},
author = {Ashok Das and Ziemowit Popowicz},
journal= {arXiv preprint arXiv:hep-th/0103063},
year = {2011}
}
Comments
11 pages, references added, version to be published in Phys. Letters B