On (2+1)-dimensional hydrodynamic type systems possessing pseudopotential with movable singularities
Mathematical Physics
2007-05-23 v3 High Energy Physics - Theory
math.MP
Quantum Algebra
Exactly Solvable and Integrable Systems
Abstract
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.
Cite
@article{arxiv.math-ph/0702026,
title = {On (2+1)-dimensional hydrodynamic type systems possessing pseudopotential with movable singularities},
author = {Alexander Odesskii and Vladimir Sokolov},
journal= {arXiv preprint arXiv:math-ph/0702026},
year = {2007}
}
Comments
12 pages, latex