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Solitary wave behavior of (2+1)-dimensional Chaffee-Infante equation
Saima Arshed1, Ghazala Akram1, Maasoomah Sadaf1
1Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, Pakistan.
Plos One
|January 6, 2023
Summary
This study explores solitary wave solutions for the (2+1)-dimensional Chaffee-Infante equation, crucial for modeling gas diffusion. The extended sinh-Gordon equation expansion technique successfully identified various wave patterns, demonstrating its utility.
Area of Science:
- Mathematical Physics
- Nonlinear Dynamics
- Fluid Dynamics
Background:
- The (2+1)-dimensional Chaffee-Infante equation models gas diffusion in homogeneous media.
- Understanding solitary wave behavior is key to analyzing complex physical phenomena.
Purpose of the Study:
- To investigate the solitary wave solutions of the (2+1)-dimensional Chaffee-Infante equation.
- To apply the extended sinh-Gordon equation expansion technique for finding these solutions.
Main Methods:
- Utilized the extended sinh-Gordon equation expansion technique.
- Analyzed the (2+1)-dimensional Chaffee-Infante equation.
Main Results:
- Identified bright, dark, periodic, kink, anti-kink, and singular traveling wave patterns.
- Visualized solution dynamics using 3D graphs, 2D plots, and contour plots.
Conclusions:
- The extended sinh-Gordon equation expansion technique is an effective method for solving the Chaffee-Infante equation.
- This technique is applicable to a wide range of equations in science and technology.
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