Looped cotangent Virasoro algebra and non-linear integrable systems in dimension 2+1

被引：38

作者：

Ovsienko, V. ^{[1
]}

Roger, C. ^{[1
]}

机构：

[1] Univ Lyon 1, Inst Camille Jordan, F-69622 Villeurbanne, France

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2007年 / 273卷 / 02期

关键词：

D O I：

10.1007/s00220-007-0237-z

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：357 / 378

页数：22

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