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On quadratic Poisson brackets
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| Zeitschriftentitel: | Journal of Mathematical Physics |
|---|---|
| Personen und Körperschaften: | |
| In: | Journal of Mathematical Physics, 46, 2005, 4 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
AIP Publishing
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| Schlagwörter: |
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Kisisel, Ali Ulas Özgür Kisisel, Ali Ulas Özgür |
|---|---|
| author |
Kisisel, Ali Ulas Özgür |
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Kisisel, Ali Ulas Özgür Journal of Mathematical Physics On quadratic Poisson brackets Mathematical Physics Statistical and Nonlinear Physics |
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kisisel, ali ulas özgür |
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Kisisel, Ali Ulas Özgür 0022-2488 1089-7658 AIP Publishing Mathematical Physics Statistical and Nonlinear Physics http://dx.doi.org/10.1063/1.1866221 <jats:p>In this paper, we present a method for constructing large families of quadratic Poisson brackets on a manifold using more elementary brackets on a different manifold. The method is then applied to several examples of completely integrable systems. One can recover several known brackets for systems such as the Toda lattice or the open discrete KP hierarchy. New brackets for a doubly periodic discrete KP hierarchy are also constructed.</jats:p> On quadratic Poisson brackets Journal of Mathematical Physics |
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On quadratic Poisson brackets |
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On quadratic Poisson brackets |
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On quadratic Poisson brackets |
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On quadratic Poisson brackets |
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On quadratic Poisson brackets |
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On quadratic Poisson brackets |
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on quadratic poisson brackets |
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Mathematical Physics Statistical and Nonlinear Physics |
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2005 |
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<jats:p>In this paper, we present a method for constructing large families of quadratic Poisson brackets on a manifold using more elementary brackets on a different manifold. The method is then applied to several examples of completely integrable systems. One can recover several known brackets for systems such as the Toda lattice or the open discrete KP hierarchy. New brackets for a doubly periodic discrete KP hierarchy are also constructed.</jats:p> |
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| description | <jats:p>In this paper, we present a method for constructing large families of quadratic Poisson brackets on a manifold using more elementary brackets on a different manifold. The method is then applied to several examples of completely integrable systems. One can recover several known brackets for systems such as the Toda lattice or the open discrete KP hierarchy. New brackets for a doubly periodic discrete KP hierarchy are also constructed.</jats:p> |
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| spelling | Kisisel, Ali Ulas Özgür 0022-2488 1089-7658 AIP Publishing Mathematical Physics Statistical and Nonlinear Physics http://dx.doi.org/10.1063/1.1866221 <jats:p>In this paper, we present a method for constructing large families of quadratic Poisson brackets on a manifold using more elementary brackets on a different manifold. The method is then applied to several examples of completely integrable systems. One can recover several known brackets for systems such as the Toda lattice or the open discrete KP hierarchy. New brackets for a doubly periodic discrete KP hierarchy are also constructed.</jats:p> On quadratic Poisson brackets Journal of Mathematical Physics |
| spellingShingle | Kisisel, Ali Ulas Özgür, Journal of Mathematical Physics, On quadratic Poisson brackets, Mathematical Physics, Statistical and Nonlinear Physics |
| title | On quadratic Poisson brackets |
| title_full | On quadratic Poisson brackets |
| title_fullStr | On quadratic Poisson brackets |
| title_full_unstemmed | On quadratic Poisson brackets |
| title_short | On quadratic Poisson brackets |
| title_sort | on quadratic poisson brackets |
| title_unstemmed | On quadratic Poisson brackets |
| topic | Mathematical Physics, Statistical and Nonlinear Physics |
| url | http://dx.doi.org/10.1063/1.1866221 |