First integrals generated by pseudosymmetries in Nambu-Poisson mechanics
Exactly Solvable and Integrable Systems
2011-04-04 v1
Abstract
Some types of first integrals for Hamiltonian Nambu-Poisson vector fields are obtained by using the notions of pseudosymmetries. In this theory, the homogeneous Hamiltonian vector fields play a special role and we point out this fact. The differential system which describe the -monopoles is given as example. The paper ends with two appendices.
Keywords
Cite
@article{arxiv.nlin/0004041,
title = {First integrals generated by pseudosymmetries in Nambu-Poisson mechanics},
author = {Mircea Crâşmăreanu},
journal= {arXiv preprint arXiv:nlin/0004041},
year = {2011}
}