Nonlinear Ordinary Differential Equations: A discussion on Symmetries and Singularities
Mathematical Physics
2016-08-04 v1 Classical Analysis and ODEs
math.MP
Abstract
Two essential methods, the symmetry analysis and of the singularity analysis, for the study of the integrability of nonlinear ordinary differential equations are discussed. The main similarities and differences of these two different methods are given.
Keywords
Cite
@article{arxiv.1605.04164,
title = {Nonlinear Ordinary Differential Equations: A discussion on Symmetries and Singularities},
author = {Andronikos Paliathanasis and P. G. L. Leach},
journal= {arXiv preprint arXiv:1605.04164},
year = {2016}
}
Comments
21 pages, 1 table, to be published in Int. J. Geom. Meth. Mod. Phys