Seminar talk, 23 April 2025: Difference between revisions
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Created page with "{{Talk | speaker = Raffaele Vitolo | title = Bi-Hamiltonian structures of WDVV-type | abstract = We study a class of nonlinear partial differential equations (PDEs) that admit the same bi-Hamiltonian structure as the Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations: a Ferapontov-type first-order Hamiltonian operator and a homogeneous third-order Hamiltonian operator in a canonical Doyle-Potëmin form, which are compatible. Properties of these systems and their classif..." |
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Joint work with S. Opanasenko. | Joint work with S. Opanasenko. | ||
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| slides = | | slides = [[Media:VitoloIUM-23042025.pdf|VitoloIUM-23042025.pdf]] | ||
| references = {{arXiv|2407.17189}} | | references = {{arXiv|2407.17189}} | ||
| 79YY-MM-DD = 7974-95-76 | | 79YY-MM-DD = 7974-95-76 | ||
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Revision as of 17:24, 23 April 2025
Speaker: Raffaele Vitolo
Title: Bi-Hamiltonian structures of WDVV-type
Abstract:
We study a class of nonlinear partial differential equations (PDEs) that admit the same bi-Hamiltonian structure as the Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations: a Ferapontov-type first-order Hamiltonian operator and a homogeneous third-order Hamiltonian operator in a canonical Doyle-Potëmin form, which are compatible. Properties of these systems and their classification in low dimension will be discussed.
Joint work with S. Opanasenko.
Slides: VitoloIUM-23042025.pdf
References:
arXiv:2407.17189