TY  - JOUR
AU  - Koudahoun, Lucas H. 
AU  - Akande, Jean 
AU  - Adjaï, Damien K.K. 
AU  - Kpomahou, Yélomè J.F. 
AU  - Monsia, Marc D. 
PY  - 2018
TI  - Exact Classical and Quantum Mechanics of a Generalized Singular Equation of Quadratic Liénard Type
JF  - Journal of Mathematics and Statistics
VL  - 14
IS  - 1
DO  - 10.3844/jmssp.2018.183.192
UR  - https://thescipub.com/abstract/jmssp.2018.183.192
AB  - Authors introduce a generalized singular differential equation of quadratic Liénard type for study of exact classical and quantum mechanical solutions. The equation is shown to exhibit periodic solutions and to include the linear harmonic oscillator equation and the Painlevé-Gambier XVII equation as special cases. It is also shown that the equation may exhibit discrete eigenstates as quantum behavior under Nikiforov-Uvarov approach after several point transformations.