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

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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.
LaTeX, 21 pages

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Mathematical Physics, Exactly Solvable and Integrable Systems, 17B68, 17B80, 35Q53

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http://salesiana.dossiersoluciones.com/handle/123456789/183295

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0602043
 http://arxiv.org/abs/math-ph/0602043
 Commun.Math.Phys.273:357-378,2007
 doi:10.1007/s00220-007-0237-z

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arXiv