On Addition Formulae of KP, mKP and BKP Hierarchies
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On Addition Formulae of KP, mKP and BKP Hierarchies
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| Creator |
Shigyo, Y.
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| Description |
In this paper we study the addition formulae of the KP, the mKP and the BKP hierarchies. We prove that the total hierarchies are equivalent to the simplest equations of their addition formulae. In the case of the KP and the mKP hierarchies those results had previously been proved by Noumi, Takasaki and Takebe by way of wave functions. Here we give alternative and direct proofs for the case of the KP and mKP hierarchies. Our method can equally be applied to the BKP hierarchy.
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| Date |
2019-02-19T18:36:38Z
2019-02-19T18:36:38Z 2013 |
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| Type |
Article
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| Identifier |
On Addition Formulae of KP, mKP and BKP Hierarchies / Y. Shigyo // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 24 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 14H70; 37K10; 37K20 DOI: http://dx.doi.org/10.3842/SIGMA.2013.035 http://dspace.nbuv.gov.ua/handle/123456789/149208 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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