TY  - JOUR
AU  - Akande, Jean 
AU  - Kêgnidé Adjaï , Damien Kolawolé 
AU  - Monsia, Marc Delphin 
PY  - 2018
TI  - Theory of Exact Trigonometric Periodic Solutions to Quadratic Liénard Type Equations
JF  - Journal of Mathematics and Statistics
VL  - 14
IS  - 1
DO  - 10.3844/jmssp.2018.232.240
UR  - https://thescipub.com/abstract/jmssp.2018.232.240
AB  - 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.