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

被引：4

作者：

Mokhov, O. I. ^{[1
]}

Pavlenko, N. A. ^{[1
]}

机构：

[1] Lomonosov Moscow State Univ, Fac Mech & Math, Moscow, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2018年 / 197卷 / 01期

基金：

俄罗斯科学基金会;

关键词：

associativity equations; nondiagonalizable system of hydrodynamic type; Dubrovin-Novikov Hamiltonian operator; flat metric; Haantjes tensor; TOPOLOGICAL FIELD-THEORY; SYSTEMS;

D O I：

10.1134/S0040577918100070

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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.

引用

页码：1501 / 1513

页数：13

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