Some Remarks on the KP System of the Camassa-Holm Hierarchy
We study a Kadomtsev-Petviashvili system for the local Camassa-Holm hierarchy obtaining a candidate to the Baker-Akhiezer function for its first reduction generalizing the local Camassa-Holm. We focus our attention on the differences with the standard KdV-KP case.
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2007-03-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://www.emis.de/journals/SIGMA/2007/047/ |
| _version_ | 1828290039053811712 |
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| author | Giovanni Ortenzi |
| author_facet | Giovanni Ortenzi |
| author_sort | Giovanni Ortenzi |
| collection | DOAJ |
| description | We study a Kadomtsev-Petviashvili system for the local Camassa-Holm hierarchy obtaining a candidate to the Baker-Akhiezer function for its first reduction generalizing the local Camassa-Holm. We focus our attention on the differences with the standard KdV-KP case. |
| first_indexed | 2024-04-13T10:30:45Z |
| format | Article |
| id | doaj.art-900b6c4b8bbf4e4494d7b0bddeb645c1 |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-04-13T10:30:45Z |
| publishDate | 2007-03-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-900b6c4b8bbf4e4494d7b0bddeb645c12022-12-22T02:50:11ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592007-03-013047Some Remarks on the KP System of the Camassa-Holm HierarchyGiovanni OrtenziWe study a Kadomtsev-Petviashvili system for the local Camassa-Holm hierarchy obtaining a candidate to the Baker-Akhiezer function for its first reduction generalizing the local Camassa-Holm. We focus our attention on the differences with the standard KdV-KP case.http://www.emis.de/journals/SIGMA/2007/047/KP hierarchyCH hierarchySato Grassmannian |
| spellingShingle | Giovanni Ortenzi Some Remarks on the KP System of the Camassa-Holm Hierarchy Symmetry, Integrability and Geometry: Methods and Applications KP hierarchy CH hierarchy Sato Grassmannian |
| title | Some Remarks on the KP System of the Camassa-Holm Hierarchy |
| title_full | Some Remarks on the KP System of the Camassa-Holm Hierarchy |
| title_fullStr | Some Remarks on the KP System of the Camassa-Holm Hierarchy |
| title_full_unstemmed | Some Remarks on the KP System of the Camassa-Holm Hierarchy |
| title_short | Some Remarks on the KP System of the Camassa-Holm Hierarchy |
| title_sort | some remarks on the kp system of the camassa holm hierarchy |
| topic | KP hierarchy CH hierarchy Sato Grassmannian |
| url | http://www.emis.de/journals/SIGMA/2007/047/ |
| work_keys_str_mv | AT giovanniortenzi someremarksonthekpsystemofthecamassaholmhierarchy |