Submitting Campus
Daytona Beach
Department
Mathematics
Document Type
Article
Publication/Presentation Date
9-2-2013
Abstract/Description
We emphasize two connections, one well known and another less known, between the dissipative nonlinear second order differential equations and the Abel equations which in its first kind form have only cubic and quadratic terms. Then, employing an old integrability criterion due to Chiellini, we introduce the corresponding integrable dissipative equations. For illustration, we present the cases of some integrable dissipative Fisher, nonlinear pendulum, and Burgers-Huxley type equations which are obtained in this way and can be of interest in applications. We also show how to obtain Abel solutions directly from the factorization of second-order nonlinear equations.
Publication Title
Physics Letters A
DOI
https://doi.org/10.1016/j.physleta.2013.04.024
Publisher
Elsevier
Scholarly Commons Citation
Mancas, S., & Rosu, H. C. (2013). Integrable Dissipative Nonlinear Second Order Differential Equations Via Factorizations and Abel Equations. Physics Letters A, 377(21-22). https://doi.org/10.1016/j.physleta.2013.04.024
