On the integrability of the generalized Yang-Mills system

A. Lesfari, and A. Elachab. "On the integrability of the generalized Yang-Mills system." Applicationes Mathematicae 31.3 (2004): 345-351. <http://eudml.org/doc/278885>.

@article{A2004,
abstract = {We consider a hamiltonian system which, in a special case and under the gauge group SU(2), can be considered as a reduction of the Yang-Mills field equations. We prove explicitly, using the Lax spectral curve technique and the van Moerbeke-Mumford method, that the flows generated by the constants of motion are straight lines on the Jacobi variety of a genus two Riemann surface.},
author = {A. Lesfari, A. Elachab},
journal = {Applicationes Mathematicae},
keywords = {Hamiltonian; integrable systems; Lax representation; curves; Jacobian varieties},
language = {eng},
number = {3},
pages = {345-351},
title = {On the integrability of the generalized Yang-Mills system},
url = {http://eudml.org/doc/278885},
volume = {31},
year = {2004},
}

TY - JOUR
AU - A. Lesfari
AU - A. Elachab
TI - On the integrability of the generalized Yang-Mills system
JO - Applicationes Mathematicae
PY - 2004
VL - 31
IS - 3
SP - 345
EP - 351
AB - We consider a hamiltonian system which, in a special case and under the gauge group SU(2), can be considered as a reduction of the Yang-Mills field equations. We prove explicitly, using the Lax spectral curve technique and the van Moerbeke-Mumford method, that the flows generated by the constants of motion are straight lines on the Jacobi variety of a genus two Riemann surface.
LA - eng
KW - Hamiltonian; integrable systems; Lax representation; curves; Jacobian varieties
UR - http://eudml.org/doc/278885
ER -