Physics – Mathematical Physics
Scientific paper
2006-02-16
Commun.Math.Phys.273:357-378,2007
Physics
Mathematical Physics
LaTeX, 21 pages
Scientific paper
10.1007/s00220-007-0237-z
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.
Ovsienko Valentin
Roger Claude
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