Factorization method for some inhomogeneous Lienard equations

Authors

  • Octavio Cornejo Perez Facultad de Ingenieria, Universidad Autonoma de Queretaro, Centro Universitario Cerro de las Campanas, 76010 Santiago de Queretaro
  • Stefan C Mancas Department of Mathematics, Embry-Riddle Aeronautical University, Daytona Beach, FL 32114-3900 http://orcid.org/0000-0003-1175-6869
  • Haret-Codratian Rosu Barbus Instituto Potosino de Investigación Científica y Tecnológica, A.C. http://orcid.org/0000-0001-5909-1945
  • Carlos Rico Olvera Universidad Autonoma de Queretaro, Centro Universitario Cerro de las Campanas, 76010 Santiago de Queretaro

DOI:

https://doi.org/10.31349/RevMexFis.67.443

Keywords:

Factorization, Inhomogeneous, Li\'enard equation, Abel equation, Riccati equation

Abstract

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.

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Published

2021-05-01

How to Cite

[1]
O. Cornejo Perez, S. C. Mancas, H.-C. Rosu Barbus, and C. Rico Olvera, “Factorization method for some inhomogeneous Lienard equations”, Rev. Mex. Fís., vol. 67, no. 3 May-Jun, pp. 443–446, May 2021.

Issue

Vol. 67 No. 3 May-Jun (2021): Revista Mexicana de Física

Section

07 Gravitation, Mathematical Physics and Field Theory

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Copyright (c) 2021 Octavio Cornejo Perez, Stefan C Mancas, Haret-Codratian Rosu Barbus, Carlos Rico Olvera

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