Darboux transformations for the strict KP hierarchy
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| Publication date | 21-06-2021 |
| Journal | Theoretical and Mathematical Physics |
| Volume | Issue number | 206 |
| Pages (from-to) | 296-314 |
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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. |
| Document type | Article |
| Language | English |
| Published at |
https://doi.org/10.1134/S004057792103003X
(Final published version)
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