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.
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This research is supported by a grant from the Russian Science Foundation (Project No. 16-11-10260).
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 197, No. 1, pp. 121–137, October, 2018.
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Mokhov, O.I., Pavlenko, N.A. Classification of the Associativity Equations with A First-Order Hamiltonian Operator. Theor Math Phys 197, 1501–1513 (2018). https://doi.org/10.1134/S0040577918100070
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DOI: https://doi.org/10.1134/S0040577918100070