We sketch out a new geometric framework to construct Hamiltonian operators for generic, non-evolutionary partial differential equations. Examples on how the formalism works are provided for the KdV equation, Camassa--Holm equation, and Kupershmidt's deformation of a bi-Hamiltonian system
We expose a unified computational approach to integrable structures (including recursion, Hamiltoni...
This paper aims at investigating necessary and sufficient conditions for quasilinear systems of firs...
It has been proved that any 3-dimensional dynamical system of ordinary differential equations (in sh...
We prove that the Kupershmidt deformation of a bi-Hamiltonian system is itself bi-Hamiltonian. Moreo...
Many partial differential equations arising in physics can be seen as infinite dimensional Hamiltoni...
We define partial differential (PD in the following), i.e., field theoretic analogues of Hamiltonian...
We describe a simple algorithmic method of constructing Hamiltonian structures for nonlinear PDE. Ou...
An efficient method to construct Hamiltonian structures for nonlinear evolution equations is describ...
Abstract. An e±cient method to construct Hamiltonian structures for nonlinear evolution equations is...
A new method (by Kersten, Krasil'shchik and Verbovetsky), based on the theory of differential coveri...
We present a unified geometric framework for describing both the Lagrangian and Hamiltonian formalis...
AbstractIn this paper we introduce the notion of infinite dimensional Jacobi structure to describe t...
In this paper we wonder whether a quasilinear system of PDEs of first order admits Hamiltonian formu...
This book is a unique selection of work by world-class experts exploring the latest developments in ...
We present a unified geometric framework for describing both the Lagrangian and Hamil-tonian formali...
We expose a unified computational approach to integrable structures (including recursion, Hamiltoni...
This paper aims at investigating necessary and sufficient conditions for quasilinear systems of firs...
It has been proved that any 3-dimensional dynamical system of ordinary differential equations (in sh...
We prove that the Kupershmidt deformation of a bi-Hamiltonian system is itself bi-Hamiltonian. Moreo...
Many partial differential equations arising in physics can be seen as infinite dimensional Hamiltoni...
We define partial differential (PD in the following), i.e., field theoretic analogues of Hamiltonian...
We describe a simple algorithmic method of constructing Hamiltonian structures for nonlinear PDE. Ou...
An efficient method to construct Hamiltonian structures for nonlinear evolution equations is describ...
Abstract. An e±cient method to construct Hamiltonian structures for nonlinear evolution equations is...
A new method (by Kersten, Krasil'shchik and Verbovetsky), based on the theory of differential coveri...
We present a unified geometric framework for describing both the Lagrangian and Hamiltonian formalis...
AbstractIn this paper we introduce the notion of infinite dimensional Jacobi structure to describe t...
In this paper we wonder whether a quasilinear system of PDEs of first order admits Hamiltonian formu...
This book is a unique selection of work by world-class experts exploring the latest developments in ...
We present a unified geometric framework for describing both the Lagrangian and Hamil-tonian formali...
We expose a unified computational approach to integrable structures (including recursion, Hamiltoni...
This paper aims at investigating necessary and sufficient conditions for quasilinear systems of firs...
It has been proved that any 3-dimensional dynamical system of ordinary differential equations (in sh...
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