On a class of third-order nonlocal Hamiltonian operators

被引：6

作者：

Casati, M. ^{[1
]}

Ferapontov, E. V. ^{[1
]}

Pavlov, M. V. ^{[2
]}

Vitolo, R. F. ^{[3
,4
]}

机构：

[1] Loughborough Univ, Dept Math Sci, Loughborough LE11 3TU, Leics, England

[2] Russian Acad Sci, Lebedev Phys Inst, Sect Math Phys, Leninskij Prospekt 53, Moscow, Russia

[3] Univ Salento, Dept Math & Phys E De Giorgi, Lecce, Italy

[4] Ist Nazl Fis Nucl, Sect Lecce, Lecce, Italy

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2019年 / 138卷

关键词：

Nonlocal Hamiltonian operator; Monge metric; Dirac reduction; Poisson vertex algebra; POISSON STRUCTURES; EQUATIONS; ASSOCIATIVITY; BRACKETS;

D O I：

10.1016/j.geomphys.2018.10.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on the theory of Poisson vertex algebras we calculate skew-symmetry conditions and Jacobi identities for a class of third-order nonlocal operators of differential-geometric type. Hamiltonian operators within this class are defined by a Monge metric and a skew-symmetric two-form satisfying a number of differential-geometric constraints. Complete classification results in the 2-component and 3-component cases are obtained. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：285 / 296

页数：12

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