Cesar Augusto GOMEZ SIERRA
Departamento de Matimaticas,
Facultad de Ciencias,
Universidad Nacional de Colombia,
Bogota,
COLOMBIA
E-mail: cagomezsi@unal.edu.co

Riccati equation in the study of linear and nonlinear differential equations

Abstract:
The goal of this report is to give generalities of the Riccati equation and some of their applications to finding exact solutions for linear and nonlinear PDEs of mathematical physics.