alexa Looped Cotangent Virasoro Algebra and Non-Linear Integrable Systems in Dimension 2 + 1


Journal of Generalized Lie Theory and Applications

Author(s): V Ovsienko, C Roger

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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.

This article was published in Communications in Mathematical Physics and referenced in Journal of Generalized Lie Theory and Applications

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