Theory of Exact Trigonometric Periodic Solutions to Quadratic Liénard Type Equations
Jean Akande1, Damien Kolawolé Kêgnidé Adjaï1 & Marc Delphin Monsia1 Show affiliations
- University of Abomey-Calavi, Benin
Journal of Mathematics and Statistics, Volume 14, Issue 1, pp. 232–240 · doi.org/10.3844/jmssp.2018.232.240
Abstract
A mathematical theory is developed through generalized Sundman transformation to show the existence of classes of quadratic Liénard type equations which admit exact and explicit general trigonometric solutions but with amplitude-dependent frequency. The application of the theory to compute also exact and explicit general periodic solutions to nonlinear differential equations like inverted Painlevé-Gambier equations in terms of trigonometric or Jacobian elliptic functions is highlighted by some illustrative examples.
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Akande, J., Kêgnidé Adjaï, D. K. & Monsia, M. D. (2018). Theory of Exact Trigonometric Periodic Solutions to Quadratic Liénard Type Equations. Journal of Mathematics and Statistics, 14(1), 232–240. https://doi.org/10.3844/jmssp.2018.232.240
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