Hamiltonian Structures on Coadjoint Orbits of Semidirect Product of $G=Diff_+(S^{1})$ and $C^{\infty}(S^1, {\bf R})$

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dc.creatorZujewski, A.
dc.date1995-08-02
dc.date.accessioned2026-07-07T09:17:48Z
dc.date.available2026-07-07T09:17:48Z
dc.descriptionWe consider the semidirect product of diffeomorphisms of the circle $D={Diff}_+(S^1)$ and $C^{\infty}(S^{1}, {\bf R})$ functions, classify its coadjoint orbits and prove the integrability of hamiltonian (Generalized Dispersive Water Waves (DWW) and KdV-type) systems related to corresponding Lie algebra centrally extended by Kac-Moody, Virasoro and semidirect product cocycles with arbitrary coefficients.
dc.description17 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/solv-int/9507006
dc.identifierhttp://arxiv.org/abs/solv-int/9507006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153804
dc.subjectExactly Solvable and Integrable Systems
dc.subjectHigh Energy Physics - Theory
dc.titleHamiltonian Structures on Coadjoint Orbits of Semidirect Product of $G=Diff_+(S^{1})$ and $C^{\infty}(S^1, {\bf R})$
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