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

被引：0
|
作者：
O. I. Mokhov
N. A. Pavlenko
机构：
[1] Lomonosov Moscow State University,Faculty of Mechanics and Mathematics
来源：
Theoretical and Mathematical Physics | 2018年 / 197卷
关键词：
associativity equations; nondiagonalizable system of hydrodynamic type; Dubrovin–Novikov Hamiltonian operator; flat metric; Haantjes tensor;
D O I：
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学科分类号：
摘要：
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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页码：1501 / 1513
页数：12
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