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.
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页码：285 / 296
页数：12
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