|
ИСТИНА |
Войти в систему Регистрация |
ИПМех РАН |
||
On Hamiltonian geometry of the associativity equationsтезисы доклада
- Авторы: Mokhov O.I., Pavlenko N.A.
- Сборник: Physics and Mathematics of Nonlinear Phenomena (PMNP2017): 50 years of IST, GALLIPOLI (Lecce) - Italy, June 17, 2017 - June 24, 2017, Book of Abstracts
- Тезисы
- Год издания: 2017
- Место издания: Lecce University, Lecce, Italy
- Первая страница: 31
- Последняя страница: 31
- Аннотация: In the case of three primary fields, the associativity equations or the Witten– Dijkgraaf–Verlinde–Verlinde (WDVV) equations of the two-dimensional topological quantum field theory can be represented as integrable nondiagonalizable systems of hydrodynamic type (O.I. Mokhov, [1]). After that the question about the Hamiltonian nature of such hydrodynamic type systems arose. The Hamiltonian geometry of these systems essentially depends on the metric of the associativity equations (O.I. Mokhov and E.V. Ferapontov, [2]). There are examples of the WDVV equations which are equivalent to the hydrodynamic type systems with local homogeneous first-order Dubrovin–Novikov type Hamiltonian structures, and those which are equivalent to the hydrodynamic type systems without such structures. O.I. Mokhov and the author have obtained the classification of existence of a local first-order Hamiltonian structure for the hydrodynamic type systems which are equivalent to the WDVV equations in the case of three primary fields. The results of O.I. Bogoyavlenskij and A.P. Reynolds [3] for the three-component nondiagonalizable hydrodynamic type systems are essentially used for the solution of this problem. The results of classification will be presented.
- Добавил в систему: Мохов Олег Иванович