Weierstrass integrability of differential equations
Dynamical Systems
2009-09-02 v1
Abstract
The integrability problem consists in finding the class of functions a first integral of a given planar polynomial differential system must belong to. We recall the characterization of systems which admit an elementary or Liouvillian first integral. We define {\it Weierstrass integrability} and we determine which Weierstrass integrable systems are Liouvillian integrable. Inside this new class of integrable systems there are non--Liouvillian integrable systems.
Cite
@article{arxiv.0909.0113,
title = {Weierstrass integrability of differential equations},
author = {Jaume Giné and Maite Grau},
journal= {arXiv preprint arXiv:0909.0113},
year = {2009}
}
Comments
6 pages, no figures