DOAJ Open Access 2023

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

I. Humbu B. Muatjetjeja T.G. Motsumi A.R. Adem

Abstrak

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.

Topik & Kata Kunci

Applied mathematics. Quantitative methods

Penulis (4)

I. Humbu

B. Muatjetjeja

T.G. Motsumi

A.R. Adem

Format Sitasi

APA MLA BibTeX

Humbu, I., Muatjetjeja, B., Motsumi, T., Adem, A. (2023). Periodic solutions and symmetry reductions of a generalized Chaffee–Infante equation. https://doi.org/10.1016/j.padiff.2023.100497

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.1016/j.padiff.2023.100497
Akses: Open Access ✓