Classification of the Associativity Equations with A First-Order Hamiltonian Operator

Classification of the Associativity Equations with A First-Order Hamiltonian Operator

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 s...

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Veröffentlicht in:Theoretical and mathematical physics 2018-10, Vol.197 (1), p.1501-1513
Hauptverfasser: Mokhov, O. I., Pavlenko, N. A.
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Classification
Mathematical analysis
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
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Zusammenfassung: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.
ISSN:0040-5779
1573-9333
DOI:10.1134/S0040577918100070