Periodic solutions and symmetry reductions of a generalized Chaffee–Infante equation

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 equ...

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Bibliographic Details
Published in:Partial differential equations in applied mathematics : a spin-off of Applied Mathematics Letters 2023-06, Vol.7, p.100497, Article 100497
Main Authors: Humbu, I., Muatjetjeja, B., Motsumi, T.G., Adem, A.R.
Format: Article
Language:English
Subjects:
Chaffee–Infante equation in (2+1)-dimensions
Periodic solutions
Symmetry reductions
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Summary: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.
ISSN:2666-8181
2666-8181
DOI:10.1016/j.padiff.2023.100497