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This article is cited in 4 scientific papers (total in 4 papers)
Classification of the associativity equations with a first-order Hamiltonian operator
O. I. Mokhov, N. A. Pavlenko Faculty of Mechanics and Mathematics, Lomonosov Moscow State
University, Moscow, Russia
Abstract:
We study the Hamiltonian geometry of systems of hydrodynamic type that are equivalent to the associativity equations in the case of three primary fields and obtain the complete classification of the associativity equations with respect to the existence of a first-order Dubrovin–Novikov Hamiltonian structure.
Keywords:
associativity equations, nondiagonalizable system of hydrodynamic type, Dubrovin–Novikov Hamiltonian operator, flat metric, Haantjes tensor.
Received: 30.09.2017
Citation:
O. I. Mokhov, N. A. Pavlenko, “Classification of the associativity equations with a first-order Hamiltonian operator”, TMF, 197:1 (2018), 124–137; Theoret. and Math. Phys., 197:1 (2018), 1501–1513
Linking options:
https://www.mathnet.ru/eng/tmf9473https://doi.org/10.4213/tmf9473 https://www.mathnet.ru/eng/tmf/v197/i1/p124
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Abstract page: | 363 | Full-text PDF : | 70 | References: | 37 | First page: | 15 |
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