| Authors |
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| Publication date |
21-06-2021
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| Journal |
Theoretical and Mathematical Physics
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| Volume | Issue number |
206
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| Pages (from-to) |
296-314
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| Organisations |
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Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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| Abstract |
We introduce the notion of Darboux transformations for the strict KP hierarchy. We previously showed that solutions of this integrable hierarchy can be constructed from a flag variety F(1). Here, we describe which two points in this flag variety are connected by such a transformation. Moreover, we present a closed form of the operators that realize this transformation and describe their geometric characteristics. We show which of these Darboux transformations map solutions of the strict n-KdV hierarchy to other solutions of this reduction of the strict KP hierarchy.
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| Document type |
Article
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| Language |
English
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| Published at |
https://doi.org/10.1134/S004057792103003X
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