@article {10.3844/jmssp.2018.232.240,
article_type = {journal},
title = {Theory of Exact Trigonometric Periodic Solutions to Quadratic Liénard Type Equations},
author = {Akande, Jean and Kêgnidé Adjaï, Damien Kolawolé and Monsia, Marc Delphin},
volume = {14},
year = {2018},
month = {Oct},
pages = {232-240},
doi = {10.3844/jmssp.2018.232.240},
url = {https://thescipub.com/abstract/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.},
journal = {Journal of Mathematics and Statistics},
publisher = {Science Publications}
}