Coupled Modified KP Hierarchy and Its Dispersionless Limit
We define the coupled modified KP hierarchy and its dispersionless limit. This integrable hierarchy is a generalization of the ''half'' of the Toda lattice hierarchy as well as an extension of the mKP hierarchy. The solutions are parametrized by a fibered flag manifold. The dispe...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2006 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146109 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Coupled Modified KP Hierarchy and Its Dispersionless Limit / T. Takebe, Lee-Peng Teo // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 23 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862531543685136384 |
|---|---|
| author | Takebe, T. Teo, Lee-Peng |
| author_facet | Takebe, T. Teo, Lee-Peng |
| citation_txt | Coupled Modified KP Hierarchy and Its Dispersionless Limit / T. Takebe, Lee-Peng Teo // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 23 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We define the coupled modified KP hierarchy and its dispersionless limit. This integrable hierarchy is a generalization of the ''half'' of the Toda lattice hierarchy as well as an extension of the mKP hierarchy. The solutions are parametrized by a fibered flag manifold. The dispersionless counterpart interpolates several versions of dispersionless mKP hierarchy.
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| first_indexed | 2025-11-24T04:38:05Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146109 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-24T04:38:05Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Takebe, T. Teo, Lee-Peng 2019-02-07T13:36:40Z 2019-02-07T13:36:40Z 2006 Coupled Modified KP Hierarchy and Its Dispersionless Limit / T. Takebe, Lee-Peng Teo // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 23 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 37K10 https://nasplib.isofts.kiev.ua/handle/123456789/146109 We define the coupled modified KP hierarchy and its dispersionless limit. This integrable hierarchy is a generalization of the ''half'' of the Toda lattice hierarchy as well as an extension of the mKP hierarchy. The solutions are parametrized by a fibered flag manifold. The dispersionless counterpart interpolates several versions of dispersionless mKP hierarchy. This paper is a contribution to the Vadim Kuznetsov Memorial Issue “Integrable Systems and Related Topics”. The work of T. Takebe is supported in part by JSPS grant 18540210. He is also grateful to Saburo Kakei and Kanehisa Takasaki for their interest and comments. The work of L.P. Teo is supported in part by MMU funding PR/2006/0590. She would also like to thank Academia Sinica of Taiwan for its hospitality during her stay, when part of this work was done. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Coupled Modified KP Hierarchy and Its Dispersionless Limit Article published earlier |
| spellingShingle | Coupled Modified KP Hierarchy and Its Dispersionless Limit Takebe, T. Teo, Lee-Peng |
| title | Coupled Modified KP Hierarchy and Its Dispersionless Limit |
| title_full | Coupled Modified KP Hierarchy and Its Dispersionless Limit |
| title_fullStr | Coupled Modified KP Hierarchy and Its Dispersionless Limit |
| title_full_unstemmed | Coupled Modified KP Hierarchy and Its Dispersionless Limit |
| title_short | Coupled Modified KP Hierarchy and Its Dispersionless Limit |
| title_sort | coupled modified kp hierarchy and its dispersionless limit |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146109 |
| work_keys_str_mv | AT takebet coupledmodifiedkphierarchyanditsdispersionlesslimit AT teoleepeng coupledmodifiedkphierarchyanditsdispersionlesslimit |