This paper is concerned with the properties of differential-geometric-type Poisson brackets specified by a differential operator of degree 2. It also considers the conditions required for such a Poisson bracket to form a bi-Hamiltonian structure with a hydrodynamic-type Poisson bracket
International audienceThis paper investigates different Poisson structures that have been proposed t...
We introduce the notion of a multiplicative Poisson λ-bracket, which plays the same role in the theo...
In our recent paper, we proved the polynomiality of a Poisson bracket for a class of infinite-dimens...
Systems of quasilinear partial differential equations of the first order, known as hydrodynamic type...
The theory of Poisson vertex algebras (PVAs) (Barakat et al. in Jpn J Math 4(2):141–252, 2009) is a ...
I. Riemannian geometry of multidimensional Poisson brackets of hydro-dynamic type. In [1] we develop...
The theory of multidimensional Poisson vertex algebras (mPVAs) provides a completely algebraic forma...
Bi-Hamiltonian structures involving Hamiltonian operators of degree 2 are studied. Firstly, pairs of...
Degenerate bi-Hamiltonian Poisson brackets of the hydrodynamic type are studied. They are bi-Hamilto...
were introduced and studied in [1] and [2] to construct a theory of conservative systems of hydrodyn...
A hierarchy of vector fields (master symmetries) and homogeneous nonlinear Poisson structures associ...
The Poisson brackets of hydrodynamic type, also called Dubrovin-Novikov brackets, constitute the Ham...
We investigate the systems of quasi-linear partial differential equations of hydrody- namic type. Th...
In this paper, inspired by the generalized structural Poisson bracket (GSPB) for the generalized cov...
We classify the dispersive Poisson brackets with one dependent variable and two independent variable...
International audienceThis paper investigates different Poisson structures that have been proposed t...
We introduce the notion of a multiplicative Poisson λ-bracket, which plays the same role in the theo...
In our recent paper, we proved the polynomiality of a Poisson bracket for a class of infinite-dimens...
Systems of quasilinear partial differential equations of the first order, known as hydrodynamic type...
The theory of Poisson vertex algebras (PVAs) (Barakat et al. in Jpn J Math 4(2):141–252, 2009) is a ...
I. Riemannian geometry of multidimensional Poisson brackets of hydro-dynamic type. In [1] we develop...
The theory of multidimensional Poisson vertex algebras (mPVAs) provides a completely algebraic forma...
Bi-Hamiltonian structures involving Hamiltonian operators of degree 2 are studied. Firstly, pairs of...
Degenerate bi-Hamiltonian Poisson brackets of the hydrodynamic type are studied. They are bi-Hamilto...
were introduced and studied in [1] and [2] to construct a theory of conservative systems of hydrodyn...
A hierarchy of vector fields (master symmetries) and homogeneous nonlinear Poisson structures associ...
The Poisson brackets of hydrodynamic type, also called Dubrovin-Novikov brackets, constitute the Ham...
We investigate the systems of quasi-linear partial differential equations of hydrody- namic type. Th...
In this paper, inspired by the generalized structural Poisson bracket (GSPB) for the generalized cov...
We classify the dispersive Poisson brackets with one dependent variable and two independent variable...
International audienceThis paper investigates different Poisson structures that have been proposed t...
We introduce the notion of a multiplicative Poisson λ-bracket, which plays the same role in the theo...
In our recent paper, we proved the polynomiality of a Poisson bracket for a class of infinite-dimens...
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