Quasi-Lie schemes: theory and applications
Mathematical Physics
2011-11-22 v2 Classical Analysis and ODEs
math.MP
Abstract
A powerful method for solving non-linear first-order ordinary differential equations, which is based on geometrical understanding of the corresponding dynamics of the so called Lie systems, is developed. This method allows us not only to solve some of these equations, but also gives a geometrical explanations for some, already known, ad hoc methods of dealing with such problems.
Cite
@article{arxiv.0810.1160,
title = {Quasi-Lie schemes: theory and applications},
author = {Jose F. Carinena and Janusz Grabowski and Javier de Lucas},
journal= {arXiv preprint arXiv:0810.1160},
year = {2011}
}
Comments
24 pages, major changes in the presentation - the version to be published in J. Phys. A: Math. Theor