Periodic solutions and symmetry reductions of a generalized Chaffee–Infante equation
I. Humbu, B. Muatjetjeja, T.G. Motsumi, Abdullahi Rashid Adem
Abstract
This paper is devoted to derive periodic solutions of a generalized Chaffee–Infante equation. This will be attained by employing several periodic ansatz methods so as to obtain a variety of exact solutions of distinct physical structures. In addition, other analytical solutions for the aforesaid equation, will be established via the symmetry reduction approach. It will be shown that a generalized Chaffee–Infante equation admits four principal Lie algebra. It will be further shown that the principal Lie algebra admits only one possible extension. The obtained results show that a generalized Chaffee–Infante equation reveals the richness of explicit periodic and traveling wave solutions.