Resumen

CORNEJO-PEREZ, O.; MANCAS, S. C.; ROSU, H. C.  y  RICO-OLVERA, C. A.. Factorization method for some inhomogeneous Liénard equations. Rev. mex. fis. [online]. 2021, vol.67, n.3, pp.442-446.  Epub 21-Feb-2022. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.67.443.

We obtain closed-form solutions of several inhomogeneous Liénard equations by the factorization method. The two factorization conditions involved in the method are turned into a system of first-order differential equations containing the forcing term. In this way, one can find the forcing terms that lead to integrable cases. Because of the reduction of order feature of factorization, the solutions are simultaneously solutions of first-order differential equations with polynomial nonlinearities. The illustrative examples of Liénard solutions obtained in this way generically have rational parts, and consequently display singularities.

Palabras llave : Factorization; inhomogeneous; Liénard equation; Abel equation; Riccati equation.

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