Geodesic
Classification of the associativity equations with a first-order Hamiltonian operator
Teoretičeskaâ i matematičeskaâ fizika, Tome 197 (2018) no. 1, pp. 124-137 Cet article a éte moissonné depuis la source Math-Net.Ru

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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
Mots-clés : Haantjes tensor. 
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O. I. Mokhov; N. A. Pavlenko. Classification of the associativity equations with a first-order Hamiltonian operator. Teoretičeskaâ i matematičeskaâ fizika, Tome 197 (2018) no. 1, pp. 124-137. http://geodesic.mathdoc.fr/item/TMF_2018_197_1_a6/

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