On B-type family of Dubrovin-Frobenius manifolds and their integrable systems (Q6622503)
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scientific article; zbMATH DE number 7930040
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On B-type family of Dubrovin-Frobenius manifolds and their integrable systems |
scientific article; zbMATH DE number 7930040 |
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On B-type family of Dubrovin-Frobenius manifolds and their integrable systems (English)
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22 October 2024
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In this paper the author studies the \(B_{k, l}\)-type, \(1 \leq k \leq l\) Dubrovin-Frobenius manifolds, which are associated to a \(B_l\)-type Coxeter group. In particular, he constructs an infinite system of commuting PDEs associated to these Dubrovin-Frobenius manifolds and shows that these PDEs extend the dispersionless BKP hierarchy. The author also illustrates his approach by several explicit examples.
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Dubrovin-Frobenius manifolds
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integrable systems
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Coxeter groups
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BKP hierarchies
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