dorsal/arxiv
View SchemaHamiltonian Structures on Coadjoint Orbits of Semidirect Product of $G=Diff_+(S^{1})$ and $C^{\infty}(S^1, {\bf R})$
| Authors | A. Zujewski |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9507006 |
| URL | https://arxiv.org/abs/solv-int/9507006 |
Abstract
We 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.
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"abstract": "We consider the semidirect product of diffeomorphisms of the circle\n$D={Diff}_+(S^1)$ and $C^{\\infty}(S^{1}, {\\bf R})$ functions, classify its\ncoadjoint orbits and prove the integrability of hamiltonian (Generalized\nDispersive Water Waves (DWW) and KdV-type) systems related to corresponding Lie\nalgebra centrally extended by Kac-Moody, Virasoro and semidirect product\ncocycles with arbitrary coefficients.",
"arxiv_id": "solv-int/9507006",
"authors": [
"A. Zujewski"
],
"categories": [
"solv-int",
"hep-th",
"nlin.SI"
],
"title": "Hamiltonian Structures on Coadjoint Orbits of Semidirect Product of $G=Diff_+(S^{1})$ and $C^{\\infty}(S^1, {\\bf R})$",
"url": "https://arxiv.org/abs/solv-int/9507006"
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