On (2+1)-dimensional hydrodynamic type systems possessing pseudopotential with movable singularities

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

A certain class of integrable hydrodynamic type systems with three independent and N dependent variables is considered. We choose the existence of a pseudopotential as a criterion of integrability. It turns out that the class of integrable systems having pseudopotentials with movable singularities is described by a functional equation, which can be solved explicitly. This allows us to construct interesting examples of integrable hydrodynamic systems for arbitrary N.
12 pages, latex

Keywords

Mathematical Physics, High Energy Physics - Theory, Quantum Algebra, Exactly Solvable and Integrable Systems, 17B80, 17B63, 32L81, 14H70

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/127098

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0702026
 http://arxiv.org/abs/math-ph/0702026

Collections

arXiv