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On a class of third-order nonlocal Hamiltonian operators

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 نشر من قبل Raffaele Vitolo
 تاريخ النشر 2018
  مجال البحث فيزياء
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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.



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