Email this article Classification of the Associativity Equations with A First-Order Hamiltonian Operator
- Authors: Mokhov O.I.1, Pavlenko N.A.1
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Affiliations:
- Faculty of Mechanics and Mathematics
- Issue: Vol 197, No 1 (2018)
- Pages: 1501-1513
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/171960
- DOI: https://doi.org/10.1134/S0040577918100070
- ID: 171960
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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.
About the authors
O. I. Mokhov
Faculty of Mechanics and Mathematics
Author for correspondence.
Email: mokhov@mi.ras.ru
Russian Federation, Moscow
N. A. Pavlenko
Faculty of Mechanics and Mathematics
Email: mokhov@mi.ras.ru
Russian Federation, Moscow
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