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Семинар отдела геометрии и топологии МИАН «Геометрия, топология и математическая физика»
18 июля 2018 г. 14:00, г. Москва, МИАН, МГУ
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Compatibility conditions between Dubrovin-Novikov integrability operators and systems of PDEs
Raffaele Vitolo University of Salento, Italy
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Количество просмотров: |
Эта страница: | 61 |
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Аннотация:
Compatibility conditions between Hamiltonian, symplectic and
recursion operators and a given system of PDEs can be systematically
derived by a method that was introduced by Kersten, Krasil'shchik and
Verbovetsky in 2003. The method is geometrically invariant, and when applied to
homogeneous symplectic or Hamiltonian operators of Dubrovin-Novikov type, it
produces geometric conditions of compatibility between systems of PDEs and
corresponding operators. We recover old results like Tsarev's
compatibility conditions between a hydrodynamic-type system and a first-order local
Dubrovin-Novikov Hamiltonian operator, and we find new results,
especially in (but not limited to) the case of third-order Hamiltonian operators.
Joint work with E.V. Ferapontov, M.V. Pavlov.
Язык доклада: английский
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