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Exact breather waves solutions in a spatial symmetric nonlinear dispersive wave model in (2+1)-dimensions
Qunyan Zou1, Jalil Manafian2,3, Somaye Malmir4
1School of Information and Artificial Intelligence, Nanchang Institute of Science & Technology, Nanchang, 330108, China.
Scientific Reports
|December 31, 2024
Summary
This study explores nonlinear dispersive wave models using the Hirota bilinear method to find breather wave solutions. The research demonstrates a clear and effective approach for analyzing complex wave phenomena in (2+1)-dimensions.
Area of Science:
- Nonlinear physics
- Mathematical modeling
- Wave phenomena
Background:
- Nonlinear dispersive wave models in (2+1)-dimensions are crucial for understanding wave phenomena and soliton interactions.
- Existing methods may lack efficiency in deriving diverse solutions.
Purpose of the Study:
- To investigate the spatial symmetric nonlinear dispersive wave model in (2+1)-dimensions.
- To derive various breather wave solutions using the Hirota bilinear form.
- To analyze the behavior and characteristics of these solutions.
Main Methods:
- Application of the Hirota bilinear form.
- Utilizing symbolic computation for generating solutions.
- Employing a mixture of exponential and trigonometric functions.
- Theoretical analysis and visualization (2D, density, 3D plots).
Main Results:
- Abundant breather wave solutions were successfully obtained.
- The movement and theoretical properties of the waves were investigated.
- The effectiveness and simplicity of the Hirota bilinear method were highlighted.
Conclusions:
- The Hirota bilinear method is a powerful and effective tool for solving nonlinear wave equations.
- The derived solutions offer insights into wave dynamics in (2+1)-dimensions.
- The approach is applicable to various nonlinear equations in computational physics and other fields.
Keywords:
Breather waveHirota operatorSpatial symmetric nonlinear dispersive wave model in (2+1)-dimensionsMore Related Videos
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