Hamiltonian operators in differential algebras

V. V. Zharinov

Teoretičeskaâ i matematičeskaâ fizika, Tome 193 (2017) no. 3, pp. 369-380

Résumé

We develop a previously proposed algebraic technique for a Hamiltonian approach to evolution systems of partial differential equations including constrained systems and propose a defining system of equations (suitable for computer calculations) characterizing the Hamiltonian operators of a given form. We demonstrate the technique with a simple example.

Détail

Keywords: differential algebra, Jacobi identity, Hamiltonian operator, Hamiltonian evolution system.
Mots-clés : Lie–Poisson structure

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