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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| Datum: | 2006 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2006
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| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Zitieren: | 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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oai:nasplib.isofts.kiev.ua:123456789-1461092025-02-23T17:40:24Z Coupled Modified KP Hierarchy and Its Dispersionless Limit Takebe, T. Teo, Lee-Peng 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. 2006 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications application/pdf Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Takebe, T. Teo, Lee-Peng |
| spellingShingle |
Takebe, T. Teo, Lee-Peng Coupled Modified KP Hierarchy and Its Dispersionless Limit Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Takebe, T. Teo, Lee-Peng |
| author_sort |
Takebe, T. |
| title |
Coupled Modified KP Hierarchy and Its Dispersionless Limit |
| title_short |
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_sort |
coupled modified kp hierarchy and its dispersionless limit |
| publisher |
Інститут математики НАН України |
| publishDate |
2006 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT takebet coupledmodifiedkphierarchyanditsdispersionlesslimit AT teoleepeng coupledmodifiedkphierarchyanditsdispersionlesslimit |
| first_indexed |
2025-07-22T04:24:14Z |
| last_indexed |
2025-07-22T04:24:14Z |
| _version_ |
1838319670736715776 |