Integrability of Dirac Reduced Bi-Hamiltonian Equations
First, we give a brief review of the theory of the Lenard-Magri scheme for a non-local bi-Poisson structure and of the theory of Dirac reduction. These theories are used in the remainder of the paper to prove integrability of three hierarchies of bi-Hamiltonian PDE’s, obtained by Dirac reduction fro...
| Main Authors: | , , |
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| Format: | Article |
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Springer International Publishing AG
2018
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| Online Access: | http://hdl.handle.net/1721.1/115965 https://orcid.org/0000-0002-2860-7811 |
| _version_ | 1826190399924862976 |
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| author | De Sole, Alberto Valeri, Daniele Kac, Victor |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics De Sole, Alberto Valeri, Daniele Kac, Victor |
| author_sort | De Sole, Alberto |
| collection | MIT |
| description | First, we give a brief review of the theory of the Lenard-Magri scheme for a non-local bi-Poisson structure and of the theory of Dirac reduction. These theories are used in the remainder of the paper to prove integrability of three hierarchies of bi-Hamiltonian PDE’s, obtained by Dirac reduction from some generalized Drinfeld-Sokolov hierarchies. |
| first_indexed | 2024-09-23T08:39:41Z |
| format | Article |
| id | mit-1721.1/115965 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T08:39:41Z |
| publishDate | 2018 |
| publisher | Springer International Publishing AG |
| record_format | dspace |
| spelling | mit-1721.1/1159652022-09-23T13:39:45Z Integrability of Dirac Reduced Bi-Hamiltonian Equations De Sole, Alberto Valeri, Daniele Kac, Victor Massachusetts Institute of Technology. Department of Mathematics Kac, Victor First, we give a brief review of the theory of the Lenard-Magri scheme for a non-local bi-Poisson structure and of the theory of Dirac reduction. These theories are used in the remainder of the paper to prove integrability of three hierarchies of bi-Hamiltonian PDE’s, obtained by Dirac reduction from some generalized Drinfeld-Sokolov hierarchies. 2018-05-30T15:12:00Z 2018-05-30T15:12:00Z 2014-08 2018-05-23T18:21:31Z Article http://purl.org/eprint/type/JournalArticle 978-3-319-05253-3 978-3-319-05254-0 2281-518X 2281-5198 http://hdl.handle.net/1721.1/115965 De Sole, Alberto, et al. “Integrability of Dirac Reduced Bi-Hamiltonian Equations.” Trends in Contemporary Mathematics, edited by Vincenzo Ancona and Elisabetta Strickland, vol. 8, Springer International Publishing, 2014, pp. 13–32. https://orcid.org/0000-0002-2860-7811 http://dx.doi.org/10.1007/978-3-319-05254-0_2 Trends in Contemporary Mathematics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Springer International Publishing AG arXiv |
| spellingShingle | De Sole, Alberto Valeri, Daniele Kac, Victor Integrability of Dirac Reduced Bi-Hamiltonian Equations |
| title | Integrability of Dirac Reduced Bi-Hamiltonian Equations |
| title_full | Integrability of Dirac Reduced Bi-Hamiltonian Equations |
| title_fullStr | Integrability of Dirac Reduced Bi-Hamiltonian Equations |
| title_full_unstemmed | Integrability of Dirac Reduced Bi-Hamiltonian Equations |
| title_short | Integrability of Dirac Reduced Bi-Hamiltonian Equations |
| title_sort | integrability of dirac reduced bi hamiltonian equations |
| url | http://hdl.handle.net/1721.1/115965 https://orcid.org/0000-0002-2860-7811 |
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