We compare three different ways of checking the Jacobi identity for weakly nonlocal Poisson brackets using the theory of distributions, pseudo-differential operators, and Poisson vertex algebras, respectively. We show that the three approaches lead to similar computations and same results
We consider the pairs of general weakly nonlocal Poisson brackets of hydrodynamic type (Ferapontov b...
International audienceThis paper investigates different Poisson structures that have been proposed t...
AbstractFor the standard symplectic forms on Jacobi and CMV matrices, we compute Poisson brackets of...
We compare three different ways of checking the Jacobi identity for weakly nonlocal Poisson brackets...
We implement an algorithm for the computation of Schouten bracket of weakly nonlocal Hamiltonian ope...
We develop a rigorous theory of non-local Poisson structures, built on the notion of a non-local Poi...
Making use of the theory of infinitesimal canonical transformations, a concise proof is given of Jac...
Poisson brackets between conserved quantities are a fundamental tool in the theory of integrable sys...
Some aspects of the relationship between conservativeness of a dynamical system (namely the preserva...
Based on the theory of Poisson vertex algebras we calculate skew-symmetry conditions and Jacobi iden...
were introduced and studied in [1] and [2] to construct a theory of conservative systems of hydrodyn...
We have developed and provide an algorithm which allows to test the Jacobi identity for a given gene...
Jacobi equations constitute a set of nonlinear partial differential equations which arise from the i...
AbstractA family of solutions of the Jacobi PDEs is investigated. This family is defined for arbitra...
We develop the notions of multiplicative Lie conformal and Poisson vertex algebras, local and non-lo...
We consider the pairs of general weakly nonlocal Poisson brackets of hydrodynamic type (Ferapontov b...
International audienceThis paper investigates different Poisson structures that have been proposed t...
AbstractFor the standard symplectic forms on Jacobi and CMV matrices, we compute Poisson brackets of...
We compare three different ways of checking the Jacobi identity for weakly nonlocal Poisson brackets...
We implement an algorithm for the computation of Schouten bracket of weakly nonlocal Hamiltonian ope...
We develop a rigorous theory of non-local Poisson structures, built on the notion of a non-local Poi...
Making use of the theory of infinitesimal canonical transformations, a concise proof is given of Jac...
Poisson brackets between conserved quantities are a fundamental tool in the theory of integrable sys...
Some aspects of the relationship between conservativeness of a dynamical system (namely the preserva...
Based on the theory of Poisson vertex algebras we calculate skew-symmetry conditions and Jacobi iden...
were introduced and studied in [1] and [2] to construct a theory of conservative systems of hydrodyn...
We have developed and provide an algorithm which allows to test the Jacobi identity for a given gene...
Jacobi equations constitute a set of nonlinear partial differential equations which arise from the i...
AbstractA family of solutions of the Jacobi PDEs is investigated. This family is defined for arbitra...
We develop the notions of multiplicative Lie conformal and Poisson vertex algebras, local and non-lo...
We consider the pairs of general weakly nonlocal Poisson brackets of hydrodynamic type (Ferapontov b...
International audienceThis paper investigates different Poisson structures that have been proposed t...
AbstractFor the standard symplectic forms on Jacobi and CMV matrices, we compute Poisson brackets of...
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