Geodesic
Hamiltonian operators in differential algebras
Teoretičeskaâ i matematičeskaâ fizika, Tome 193 (2017) no. 3, pp. 369-380

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Keywords: differential algebra, Jacobi identity, Hamiltonian operator, Hamiltonian evolution system.
Mots-clés : Lie–Poisson structure 
@article{TMF_2017_193_3_a0,
     author = {V. V. Zharinov},
     title = {Hamiltonian operators in differential algebras},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {369--380},
     publisher = {mathdoc},
     volume = {193},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2017_193_3_a0/}
}
TY  - JOUR
AU  - V. V. Zharinov
TI  - Hamiltonian operators in differential algebras
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2017
SP  - 369
EP  - 380
VL  - 193
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2017_193_3_a0/
LA  - ru
ID  - TMF_2017_193_3_a0
ER  - 
%0 Journal Article
%A V. V. Zharinov
%T Hamiltonian operators in differential algebras
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2017
%P 369-380
%V 193
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2017_193_3_a0/
%G ru
%F TMF_2017_193_3_a0
V. V. Zharinov. Hamiltonian operators in differential algebras. Teoretičeskaâ i matematičeskaâ fizika, Tome 193 (2017) no. 3, pp. 369-380. http://geodesic.mathdoc.fr/item/TMF_2017_193_3_a0/