We develop a rigorous theory of non-local Hamiltonian structures, built on the notion of a non-local Poisson vertex algebra. As an application, we find conditions that guarantee applicability of the Lenard-Magri scheme of integrability to a pair of compatible non-local Hamiltonian structures
First, we give a brief review of the theory of the Lenard-Magri scheme for a non-local bi-Poisson st...
We show that under certain technical assumptions any weakly nonlocal Hamiltonian structure compatibl...
A Hamiltonian formalism is set up for nonlocal Lagrangian systems. The method is based on obtaining ...
We develop further the Lenard-Magri scheme of integrability for a pair of compatible non-local Poiss...
We develop a rigorous theory of non-local Poisson structures, built on the notion of a non-local Poi...
We develop the formalism of double Poisson vertex algebras (local and non-local) aimed at the study ...
We develop the formalism of double Poisson vertex algebras (local and non-local) aimed at the study ...
In this paper we extensively study the notion of Hamiltonian structure for nonabelian differential-d...
We lay down the foundations of the theory of Poisson vertex algebras aimed at its applications to in...
We lay down the foundations of the theory of Poisson vertex algebras aimed at its applications to i...
We develop the formalism of double Poisson vertex algebras (local and non-local) aimed at the study ...
An overview of Hamiltonian systems with noncanonical Poisson structures is given. Examples of bi-Ham...
Abstract: It is known that any integrable, possibly degenerate, Hamiltonian system is Hamiltonian re...
© 2019, Springer-Verlag GmbH Germany, part of Springer Nature. We develop the notions of multiplicat...
First, we give a brief review of the theory of the Lenard-Magri scheme for a non-local bi-Poisson st...
First, we give a brief review of the theory of the Lenard-Magri scheme for a non-local bi-Poisson st...
We show that under certain technical assumptions any weakly nonlocal Hamiltonian structure compatibl...
A Hamiltonian formalism is set up for nonlocal Lagrangian systems. The method is based on obtaining ...
We develop further the Lenard-Magri scheme of integrability for a pair of compatible non-local Poiss...
We develop a rigorous theory of non-local Poisson structures, built on the notion of a non-local Poi...
We develop the formalism of double Poisson vertex algebras (local and non-local) aimed at the study ...
We develop the formalism of double Poisson vertex algebras (local and non-local) aimed at the study ...
In this paper we extensively study the notion of Hamiltonian structure for nonabelian differential-d...
We lay down the foundations of the theory of Poisson vertex algebras aimed at its applications to in...
We lay down the foundations of the theory of Poisson vertex algebras aimed at its applications to i...
We develop the formalism of double Poisson vertex algebras (local and non-local) aimed at the study ...
An overview of Hamiltonian systems with noncanonical Poisson structures is given. Examples of bi-Ham...
Abstract: It is known that any integrable, possibly degenerate, Hamiltonian system is Hamiltonian re...
© 2019, Springer-Verlag GmbH Germany, part of Springer Nature. We develop the notions of multiplicat...
First, we give a brief review of the theory of the Lenard-Magri scheme for a non-local bi-Poisson st...
First, we give a brief review of the theory of the Lenard-Magri scheme for a non-local bi-Poisson st...
We show that under certain technical assumptions any weakly nonlocal Hamiltonian structure compatibl...
A Hamiltonian formalism is set up for nonlocal Lagrangian systems. The method is based on obtaining ...