Factorization method for some inhomogeneous Lienard equations
Cornejo Pérez, Octavio
Mancas, Stefan C
Rosu Barbus, Haret-Codratian
Rico Olvera, Carlos
"The factorization of inhomogeneous Li\'enard equations is performed showing that through the factorization conditions involved in the method one can obtain forcing terms for which closed-form solutions exist. Because of the reduction of order feature of factorization, the solutions are simultaneously solutions of first-order differential equations with polynomial nonlinearities. Several illustrative examples of such solutions are presented, generically having rational parts and consequently singularities."
PublisherSociedad Mexicana de Física, A. C.