Traveling Wave Solutions and Conservation Laws of a Generalized Chaffee–Infante Equation in (1+3) Dimensions

Autor: Motshidisi Charity Sebogodi, Ben Muatjetjeja, Abdullahi Rashid Adem
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Universe, Vol 9, Iss 5, p 224 (2023)
Druh dokumentu: article
ISSN: 2218-1997
DOI: 10.3390/universe9050224
Popis: This paper aims to analyze a generalized Chaffee–Infante equation with power-law nonlinearity in (1+3) dimensions. Ansatz methods are utilized to provide topological and non-topological soliton solutions. Soliton solutions to nonlinear evolution equations have several practical applications, including plasma physics and the diffusion process, which is why they are becoming important. Additionally, it is shown that for certain values of the parameters, the power-law nonlinearity Chaffee–Infante equation allows solitons solutions. The requirements and restrictions for soliton solutions are also mentioned. Conservation laws are derived for the aforementioned equation. In order to comprehend the dynamics of the underlying model, we graphically show the secured findings. Hirota’s perturbation method is included in the multiple exp-function technique that results in multiple wave solutions that contain new general wave frequencies and phase shifts.
Databáze: Directory of Open Access Journals
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