@article{Iqbal2024, 
author = {Naveed Iqbal and Muhammad Bilal Riaz and Meshari Alesemi and Taher S. Hassan and Ali M. Mahnashi and Ahmad Shafee},
title = {Reliable analysis for obtaining exact soliton solutions of (2+1)-dimensional Chaffee-Infante equation},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {6},
pages = {16666-16686},
keywords = {nonlinear partial differential equations, (2+1)-dimensional Chaffee-Infante equation, modified extended direct algebraic method, kink soliton, cuspons},
url = {https://www.sciopen.com/article/10.3934/math.2024808},
doi = {10.3934/math.2024808},
abstract = {The (2+1)-dimensional Chaffee-Infante equation (CIE) is a significant model of the ion-acoustic waves in plasma. The primary objective of this paper was to establish and examine closed-form soliton solutions to the CIE using the modified extended direct algebraic method (m-EDAM), a mathematical technique. By using a variable transformation to convert CIE into a nonlinear ordinary differential equation (NODE), which was then reduced to a system of nonlinear algebraic equations with the assumption of a closed-form solution, the strategic m-EDAM was implemented. When the resulting problem was solved using the Maple tool, many soliton solutions in the shapes of rational, exponential, trigonometric, and hyperbolic functions were produced. By using illustrated 3D and density plots to evaluate several soliton solutions for the provided definite values of the parameters, it was possible to determine if the soliton solutions produced for CIE are cuspon or kink solitons. Additionally, it has been shown that the m-EDAM is a robust, useful, and user-friendly instrument that provides extra generic wave solutions for nonlinear models in mathematical physics and engineering.}
}