Nonlinear superpositions and Ermakov systems
Mathematical Physics
2008-10-21 v1 math.MP
Abstract
The theory of superposition rules for solutions of a Lie system of first-order differential equations is extended to deal with analogous systems of second-order and the theory is illustrated with the very rich example of Ermakov-like systems.
Keywords
Cite
@article{arxiv.0810.3494,
title = {Nonlinear superpositions and Ermakov systems},
author = {José F. Cariñena and Javier de Lucas and Manuel F. Rañada},
journal= {arXiv preprint arXiv:0810.3494},
year = {2008}
}
Comments
18 pages