Looped cotangent Virasoro algebra and non-linear integrable systems in dimension 2+1
Mathematical Physics
2008-11-26 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
We consider a Lie algebra generalizing the Virasoro algebra to the case of two space variables. We study its coadjoint representation and calculate the corresponding Euler equations. In particular, we obtain a bi-Hamiltonian system that leads to an integrable non-linear partial differential equation. This equation is an analogue of the Kadomtsev--Petviashvili (of type B) equation.
Keywords
Cite
@article{arxiv.math-ph/0602043,
title = {Looped cotangent Virasoro algebra and non-linear integrable systems in dimension 2+1},
author = {Valentin Ovsienko and Claude Roger},
journal= {arXiv preprint arXiv:math-ph/0602043},
year = {2008}
}
Comments
LaTeX, 21 pages