On a class of third-order nonlocal Hamiltonian operators

JOURNAL OF GEOMETRY AND PHYSICS

卷:138

Article; Proceedings Paper

Casati, M.¹  Ferapontov, E. V.¹  Pavlov, M. V.²  Vitolo, R. F.^3,4 

[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

关键词: Nonlocal Hamiltonian operator;    Monge metric;    Dirac reduction;    Poisson vertex algebra;   

DOI  :  10.1016/j.geomphys.2018.10.018

来源: Elsevier

【 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.

【 授权许可】

Free