Geodesic
Classification of the~associativity equations with a~first-order Hamiltonian operator
Teoretičeskaâ i matematičeskaâ fizika, Tome 197 (2018) no. 1, pp. 124-137

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

We study the Hamiltonian geometry of systems of hydrodynamic type that are equivalent to the associativity equations in the case of three primary fields and obtain the complete classification of the associativity equations with respect to the existence of a first-order Dubrovin–Novikov Hamiltonian structure.
Keywords: associativity equations, nondiagonalizable system of hydrodynamic type, Dubrovin–Novikov Hamiltonian operator, flat metric
Mots-clés : Haantjes tensor. 
@article{TMF_2018_197_1_a6,
     author = {O. I. Mokhov and N. A. Pavlenko},
     title = {Classification of the~associativity equations with a~first-order {Hamiltonian} operator},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {124--137},
     publisher = {mathdoc},
     volume = {197},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2018_197_1_a6/}
}
TY  - JOUR
AU  - O. I. Mokhov
AU  - N. A. Pavlenko
TI  - Classification of the~associativity equations with a~first-order Hamiltonian operator
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2018
SP  - 124
EP  - 137
VL  - 197
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2018_197_1_a6/
LA  - ru
ID  - TMF_2018_197_1_a6
ER  - 
%0 Journal Article
%A O. I. Mokhov
%A N. A. Pavlenko
%T Classification of the~associativity equations with a~first-order Hamiltonian operator
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2018
%P 124-137
%V 197
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2018_197_1_a6/
%G ru
%F TMF_2018_197_1_a6
O. I. Mokhov; N. A. Pavlenko. Classification of the~associativity equations with a~first-order Hamiltonian operator. Teoretičeskaâ i matematičeskaâ fizika, Tome 197 (2018) no. 1, pp. 124-137. http://geodesic.mathdoc.fr/item/TMF_2018_197_1_a6/