On Reducible Degeneration of Hyperelliptic Curves and Soliton Solutions
In this paper, we consider a reducible degeneration of a hyperelliptic curve of genus g. Using the Sato Grassmannian, we show that the limits of hyperelliptic solutions of the KP hierarchy exist and become soliton solutions of various types. We recover some results of Abenda, who studied regular sol...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2019 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2019
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/210066 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On Reducible Degeneration of Hyperelliptic Curves and Soliton Solutions / A. Nakayashiki // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 23 назв. — англ. |