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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2007 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147816 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Some Remarks on the KP System of the Camassa-Holm Hierarchy / G. Ortenzi // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 28 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862597193211314176 |
|---|---|
| author | Ortenzi, G. |
| author_facet | Ortenzi, G. |
| citation_txt | Some Remarks on the KP System of the Camassa-Holm Hierarchy / G. Ortenzi // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 28 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-11-27T15:47:25Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147816 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-27T15:47:25Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Ortenzi, G. 2019-02-16T08:40:46Z 2019-02-16T08:40:46Z 2007 Some Remarks on the KP System of the Camassa-Holm Hierarchy / G. Ortenzi // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 28 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 37K10; 35Q53 https://nasplib.isofts.kiev.ua/handle/123456789/147816 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. This paper is a contribution to the Proceedings of the Workshop on Geometric Aspects of Integrable Systems (July 17–19, 2006, University of Coimbra, Portugal). The author thanks Marco Pedroni and Gregorio Falqui for very useful discussions and hints, and two anonymous referees for useful comments and bibliographical references. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Some Remarks on the KP System of the Camassa-Holm Hierarchy Article published earlier |
| spellingShingle | Some Remarks on the KP System of the Camassa-Holm Hierarchy Ortenzi, G. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147816 |
| work_keys_str_mv | AT ortenzig someremarksonthekpsystemofthecamassaholmhierarchy |