Looped Cotangent Virasoro Algebra and Non-Linear Integrable Systems in Dimension 2 + 1 |
| |
| Authors: | V Ovsienko C Roger |
| |
| Institution: | (1) Institut Camille Jordan, Université Claude Bernard Lyon 1, 21 Avenue Claude Bernard, 69622 Villeurbanne Cedex, France |
| |
| 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: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
