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Soliton solutions for the Zoomeron model applying three analytical techniques
Mohammad Safi Ullah1,2, Md Mostafa1, M Zulfikar Ali2
1Department of Mathematics, Comilla University, Cumilla, Bangladesh.
Plos One
|July 27, 2023
Summary
Researchers explored soliton solutions for the Zoomeron equation using unified and Kudryashov techniques. Various optical soliton solutions, including periodic, breather, and kink types, were discovered and analyzed.
Area of Science:
- Nonlinear Physics
- Optical Solitons
- Mathematical Modeling
Background:
- The Zoomeron equation models complex nonlinear phenomena.
- Solitons possess unique characteristics crucial in diverse physical systems.
- Applications span fluid dynamics, laser physics, and nonlinear optics.
Purpose of the Study:
- To derive optical soliton solutions for the Zoomeron nonlinear structure.
- To investigate diverse soliton types and their properties.
- To analyze the dynamic behavior of these solutions.
Main Methods:
- Application of the unified method.
- Utilization of the Kudryashov and improved Kudryashov techniques.
- Mathematical derivation of soliton solutions.
Main Results:
- Identification of periodic, breather, kink, anti-kink, and dark-bell soliton solutions.
- Establishment of bright, dark, and bright-dark breather waves.
- Visualization of solution dynamics in 2D, 3D, and density plots.
Conclusions:
- The study successfully obtained a variety of optical soliton solutions for the Zoomeron equation.
- The derived solutions exhibit rich dynamic properties.
- The findings contribute to understanding nonlinear wave phenomena in physics.
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