Add to ORKGBased 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
We investigate properties of the most general PT-symmetric non-Hermitian Hamiltonian of cubic order ...
We develop a rigorous theory of non-local Poisson structures, built on the notion of a non-local Poi...
We describe of the generalized Drinfeld-Sokolov Hamiltonian reduction for the construction of classi...
Based on the theory of Poisson vertex algebras we calculate skew-symmetry conditions and Jacobi ide...
Let V be a vector space of dimension n + 1. We demonstrate that n-component third-order Hamiltonian ...
First order Hamiltonian operators of differential-geometric type were introduced by Dubrovin and Nov...
We investigate homogeneous third-order Hamiltonian operators of differential-geometric type. Based o...
We develop the notions of multiplicative Lie conformal and Poisson vertex algebras, local and non-lo...
In this paper we extensively study the notion of Hamiltonian structure for nonabelian differential-d...
We develop the formalism of double Poisson vertex algebras (local and non-local) aimed at the study ...
We compare three different ways of checking the Jacobi identity for weakly nonlocal Poisson brackets...
We investigate n-component systems of conservation laws that possess third-order Hamiltonian structu...
We describe a conjectural classification of Poisson vertex algebras of CFT type and of Poisson verte...
We implement an algorithm for the computation of Schouten bracket of weakly nonlocal Hamiltonian ope...
We prove the invariance of homogeneous second-order Hamiltonian operators under the action of projec...
We investigate properties of the most general PT-symmetric non-Hermitian Hamiltonian of cubic order ...
We develop a rigorous theory of non-local Poisson structures, built on the notion of a non-local Poi...
We describe of the generalized Drinfeld-Sokolov Hamiltonian reduction for the construction of classi...
Based on the theory of Poisson vertex algebras we calculate skew-symmetry conditions and Jacobi ide...
Let V be a vector space of dimension n + 1. We demonstrate that n-component third-order Hamiltonian ...
First order Hamiltonian operators of differential-geometric type were introduced by Dubrovin and Nov...
We investigate homogeneous third-order Hamiltonian operators of differential-geometric type. Based o...
We develop the notions of multiplicative Lie conformal and Poisson vertex algebras, local and non-lo...
In this paper we extensively study the notion of Hamiltonian structure for nonabelian differential-d...
We develop the formalism of double Poisson vertex algebras (local and non-local) aimed at the study ...
We compare three different ways of checking the Jacobi identity for weakly nonlocal Poisson brackets...
We investigate n-component systems of conservation laws that possess third-order Hamiltonian structu...
We describe a conjectural classification of Poisson vertex algebras of CFT type and of Poisson verte...
We implement an algorithm for the computation of Schouten bracket of weakly nonlocal Hamiltonian ope...
We prove the invariance of homogeneous second-order Hamiltonian operators under the action of projec...
We investigate properties of the most general PT-symmetric non-Hermitian Hamiltonian of cubic order ...
We develop a rigorous theory of non-local Poisson structures, built on the notion of a non-local Poi...
We describe of the generalized Drinfeld-Sokolov Hamiltonian reduction for the construction of classi...