Meromorphic solutions of a third order nonlinear differential equation

Details Meromorphic solutions of a third order nonlinear differential equation Meromorphic solutions of a third order nonlinear differential equation

2010-02-05

arxiv.org/abs/1002.1209v1

Journal of Mathematical Physics 51, 033518 (9 pp) (2010)

Mathematics

Classical Analysis and ODEs

12 pages, to appear, Journal of Mathematical Physics

Scientific paper

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.

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