Meromorphic solutions of a third order nonlinear differential equation
Classical Analysis and ODEs
2015-05-18 v1 Complex Variables
Abstract
We prove that all the meromorphic solutions of the nonlinear differential equation c0 u"' + 6 u^4 + c1 u" + c2 u u' + c3 u^3 + c4 u'+ c5 u^2 + c6 u +c7=0 are elliptic or degenerate elliptic, and we build them explicitly.
Cite
@article{arxiv.1002.1209,
title = {Meromorphic solutions of a third order nonlinear differential equation},
author = {Robert Conte and Ng Tuen-Wai},
journal= {arXiv preprint arXiv:1002.1209},
year = {2015}
}
Comments
12 pages, to appear, Journal of Mathematical Physics