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Meromorphic solutions of a third order nonlinear differential equation

Robert Conte, Ng Tuen-Wai

Published 2010-02-05Version 1

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.

Comments: 12 pages, to appear, Journal of Mathematical Physics
Journal: Journal of Mathematical Physics 51, 033518 (9 pp) (2010)
Categories: math.CA, math.CV
Subjects: 30D35, 02.30.Hq
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