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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 197, Number 1, Pages 124–137
DOI: https://doi.org/10.4213/tmf9473 (Mi tmf9473) 		 
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
Full-text PDF (448 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf9473
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.
Funding agency Grant number
Russian Science Foundation 16-11-10260
This research is supported by a grant from the Russian Science Foundation (Project No. 16-11-10260).
Received: 30.09.2017
English version:
Theoretical and Mathematical Physics, 2018, Volume 197, Issue 1, Pages 1501–1513
DOI: https://doi.org/10.1134/S0040577918100070
Bibliographic databases:
Document Type: Article
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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