Mathematical Physics


Theory of Exact Trigonometric Periodic Solutions to Quadratic Liénard Type Equations

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

The problem of finding exact trigonometric periodic solutions to non-linear differential equations is still an open mathematical research field. In this paper it is shown that the Painlevé-Gambier XVIII equation and its inverted version may exhibit exact trigonometric periodic solutions as well as other quadratic Liénard type equations but with amplitude-dependent frequency. Other inverted Painlevé-Gambier equations are also shown to admit exact periodic solutions.

Comments: 16 pages

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Submission history

[v1] 2017-04-15 08:20:18
[v2] 2017-04-17 09:28:29
[v3] 2017-04-28 10:55:41

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