On (2+1)-dimensional hydrodynamic type systems possessing pseudopotential with movable singularities
数学物理
2007-05-23 v3 高能物理 - 理论
math.MP
量子代数
可精确求解与可积系统
摘要
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.
引用
@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}
}
备注
12 pages, latex