title: GHM method for obtaining rationalsolutions of nonlinear differential equations.
abstract: In this paper, we propose the application of the general homotopy method (GHM) to obtain rational solutions of nonlinear differential equations. It delivers a high precision representation of the nonlinear differential equation using a few linear algebraic terms. In order to assess the benefits of this proposal, three nonlinear problems are solved and compared against other semi-analytic methods or numerical methods. The obtained results show that GHM is a powerful tool, capable to generate highly accurate rational solutions. AMS subject classification 34L30.
authors.affiliation: Facultad de Instrumentación Electrónica, Universidad Veracruzana, Cto. Gonzalo Aguirre Beltrán S/N, Xalapa, 91000 Veracruz México.
authors.forename: Hector
authors.initials: H
authors.lastname: Vazquez-Leal
authors.affiliation: National Institute for Astrophysics, Optics and Electronics, Luis Enrique Erro No. 1, Sta. Maria, Tonantzintla, 72840 Puebla México.
authors.forename: Arturo
authors.initials: A
authors.lastname: Sarmiento-Reyes
keywords: Boundary value; Epidemic model; General homotopy method; Heat radiation; Nonlinear differential equations