Dealing with Rational Second Order Ordinary Differential Equations where both Darboux and Lie Find It Difficult: The $S$-function Method

Autor:	Avellar, J., Cardoso, M. S., Duarte, L. G. S., da Mota, L. A. C. P.
Rok vydání:	2017
Předmět:	Mathematical Physics Computer Science - Symbolic Computation
Zdroj:	Computer Physics Communications, V. 234c, P. 302-314, 2019
Druh dokumentu:	Working Paper
DOI:	10.1016/j.cpc.2018.05.009
Popis:	Here we present a new approach to search for first order invariants (first integrals) of rational second order ordinary differential equations. This method is an alternative to the Darbouxian and symmetry approaches. Our procedure can succeed in many cases where these two approaches fail. We also present here a Maple implementation of the theoretical results and methods, hereby introduced, in a computational package -- {\it InSyDE}. The package is designed, apart from materializing the algorithms presented, to provide a set of tools to allow the user to analyse the intermediary steps of the process. Comment: 42 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1707.09007 Zobrazit plný text záznamu View this record from Arxiv