Mathematical Physics


Solutions of the Duffing and Painleve-Gambier Equations by Generalized Sundman Transformation

Authors: D.K.K. Adjaï, L. H. Koudahoun, J. Akande, Y.J.F. Kpomahou, M. D. Monsia

This paper shows that explicit and exact general periodic solutions for various types of Lienard equations can be computed by applying the generalized Sundman transformation. As an il- lustration of the efficiency of the proposed theory, the cubic Duffing equation and Painleve- Gambier equations were considered. As a major result, it has been found, for the first time, that equation XII of the Painleve-Gambier classication can exhibit, according to an appropriate parametric choice, trigonometric solutions, but with a shift factor.

Comments: 12 pages

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Submission history

[v1] 2017-05-18 03:29:30
[v2] 2017-08-24 03:38:22
[v3] 2017-10-24 07:14:41

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