Mathematical Physics

   

An Extension to the Theory of Trigonometric Functions as Exact Periodic Solutions to Quadratic Liénard Type Equations

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

This paper slightly extends the theory of exact trigonometric periodic solutions to quadratic Liénard type equations introduced earlier by the authors of the present contribution. The extended theory is used to determine the general periodic solutions to the Duffing equation and to some Painlevé-Gambier equations as illustrative examples. Finally the mathematical equivalence between the Duffing equation and the Painlevé-Gambier XIX equation has been highlighted by means of the proposed extended theory.

Comments: 11 Pages. 1-11

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Submission history

[v1] 2017-05-18 03:29:30

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