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Integrable mechanical systems related to the Harry–Dym hierarchy
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| Zeitschriftentitel: | Journal of Mathematical Physics |
|---|---|
| Personen und Körperschaften: | , |
| In: | Journal of Mathematical Physics, 35, 1994, 2, S. 834-847 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
AIP Publishing
|
| Schlagwörter: |
| author_facet |
Ragnisco, O. Rauch-Wojciechowski, S. Ragnisco, O. Rauch-Wojciechowski, S. |
|---|---|
| author |
Ragnisco, O. Rauch-Wojciechowski, S. |
| spellingShingle |
Ragnisco, O. Rauch-Wojciechowski, S. Journal of Mathematical Physics Integrable mechanical systems related to the Harry–Dym hierarchy Mathematical Physics Statistical and Nonlinear Physics |
| author_sort |
ragnisco, o. |
| spelling |
Ragnisco, O. Rauch-Wojciechowski, S. 0022-2488 1089-7658 AIP Publishing Mathematical Physics Statistical and Nonlinear Physics http://dx.doi.org/10.1063/1.530616 <jats:p>It is shown that all stationary and restricted flows of the Harry–Dym hierarchy have a parametrization as a set of Newton equations. They are new classes of integrable mechanical systems. Properties of the Harry–Dym hierarchy are used for deriving systematically spectral-parameter-dependent Lax representations and bi-Hamiltonian formulation for some of these systems. They yield complete sets of integrals in involution which render these systems to be completely integrable.</jats:p> Integrable mechanical systems related to the Harry–Dym hierarchy Journal of Mathematical Physics |
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AIP Publishing, 1994 |
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AIP Publishing, 1994 |
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0022-2488 1089-7658 |
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1994 |
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AIP Publishing |
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Journal of Mathematical Physics |
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49 |
| title |
Integrable mechanical systems related to the Harry–Dym hierarchy |
| title_unstemmed |
Integrable mechanical systems related to the Harry–Dym hierarchy |
| title_full |
Integrable mechanical systems related to the Harry–Dym hierarchy |
| title_fullStr |
Integrable mechanical systems related to the Harry–Dym hierarchy |
| title_full_unstemmed |
Integrable mechanical systems related to the Harry–Dym hierarchy |
| title_short |
Integrable mechanical systems related to the Harry–Dym hierarchy |
| title_sort |
integrable mechanical systems related to the harry–dym hierarchy |
| topic |
Mathematical Physics Statistical and Nonlinear Physics |
| url |
http://dx.doi.org/10.1063/1.530616 |
| publishDate |
1994 |
| physical |
834-847 |
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<jats:p>It is shown that all stationary and restricted flows of the Harry–Dym hierarchy have a parametrization as a set of Newton equations. They are new classes of integrable mechanical systems. Properties of the Harry–Dym hierarchy are used for deriving systematically spectral-parameter-dependent Lax representations and bi-Hamiltonian formulation for some of these systems. They yield complete sets of integrals in involution which render these systems to be completely integrable.</jats:p> |
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| author | Ragnisco, O., Rauch-Wojciechowski, S. |
| author_facet | Ragnisco, O., Rauch-Wojciechowski, S., Ragnisco, O., Rauch-Wojciechowski, S. |
| author_sort | ragnisco, o. |
| container_issue | 2 |
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| container_title | Journal of Mathematical Physics |
| container_volume | 35 |
| description | <jats:p>It is shown that all stationary and restricted flows of the Harry–Dym hierarchy have a parametrization as a set of Newton equations. They are new classes of integrable mechanical systems. Properties of the Harry–Dym hierarchy are used for deriving systematically spectral-parameter-dependent Lax representations and bi-Hamiltonian formulation for some of these systems. They yield complete sets of integrals in involution which render these systems to be completely integrable.</jats:p> |
| doi_str_mv | 10.1063/1.530616 |
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| id | ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTA2My8xLjUzMDYxNg |
| imprint | AIP Publishing, 1994 |
| imprint_str_mv | AIP Publishing, 1994 |
| institution | DE-D275, DE-Bn3, DE-Brt1, DE-D161, DE-Gla1, DE-Zi4, DE-15, DE-Pl11, DE-Rs1, DE-105, DE-14, DE-Ch1, DE-L229 |
| issn | 0022-2488, 1089-7658 |
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| language | English |
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| physical | 834-847 |
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| series | Journal of Mathematical Physics |
| source_id | 49 |
| spelling | Ragnisco, O. Rauch-Wojciechowski, S. 0022-2488 1089-7658 AIP Publishing Mathematical Physics Statistical and Nonlinear Physics http://dx.doi.org/10.1063/1.530616 <jats:p>It is shown that all stationary and restricted flows of the Harry–Dym hierarchy have a parametrization as a set of Newton equations. They are new classes of integrable mechanical systems. Properties of the Harry–Dym hierarchy are used for deriving systematically spectral-parameter-dependent Lax representations and bi-Hamiltonian formulation for some of these systems. They yield complete sets of integrals in involution which render these systems to be completely integrable.</jats:p> Integrable mechanical systems related to the Harry–Dym hierarchy Journal of Mathematical Physics |
| spellingShingle | Ragnisco, O., Rauch-Wojciechowski, S., Journal of Mathematical Physics, Integrable mechanical systems related to the Harry–Dym hierarchy, Mathematical Physics, Statistical and Nonlinear Physics |
| title | Integrable mechanical systems related to the Harry–Dym hierarchy |
| title_full | Integrable mechanical systems related to the Harry–Dym hierarchy |
| title_fullStr | Integrable mechanical systems related to the Harry–Dym hierarchy |
| title_full_unstemmed | Integrable mechanical systems related to the Harry–Dym hierarchy |
| title_short | Integrable mechanical systems related to the Harry–Dym hierarchy |
| title_sort | integrable mechanical systems related to the harry–dym hierarchy |
| title_unstemmed | Integrable mechanical systems related to the Harry–Dym hierarchy |
| topic | Mathematical Physics, Statistical and Nonlinear Physics |
| url | http://dx.doi.org/10.1063/1.530616 |