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Nonlinear optical dynamics and complex wave structures in nonlinear dispersive media
Samina Samina1, Maham Munawar2, Ali R Ansari3
1General Education Centre, Quanzhou University of Information Engineering, Quanzhou, Fujian, 362000, China.
Scientific Reports
|May 4, 2025
Summary
Researchers found new optical soliton solutions for the Kairat-X equation using the generalized auxiliary equation technique. This study enhances understanding of nonlinear wave dynamics and their applications.
Area of Science:
- Nonlinear optics
- Mathematical physics
Background:
- Optical solitons are crucial for stable signal transmission in nonlinear media.
- Understanding their behavior is vital for advancements in telecommunications and quantum physics.
- The Kairat-X equation models complex wave phenomena influenced by dispersion.
Purpose of the Study:
- To derive novel soliton solutions for the nonlinear Kairat-X equation.
- To analyze the complex dynamics of the model using advanced mathematical and computational techniques.
- To investigate the impact of noise on system stability and sensitivity.
Main Methods:
- Generalized auxiliary equation technique for soliton resolution.
- Phase portraits, Lyapunov exponents, and 3D attractors for dynamic analysis.
- Stochastic sensitivity analysis, including Poincaré and Lyapunov analysis, to assess noise effects.
Main Results:
- Discovery of new periodic, exponential, and other soliton solutions.
- Comprehensive examination of model dynamics revealing intricate patterns and attractors.
- Quantification of noise intensity's influence on system sensitivity and instability.
Conclusions:
- The generalized auxiliary equation technique effectively yields novel soliton solutions for the Kairat-X equation.
- The detailed dynamic analysis provides deep insights into nonlinear wave behavior.
- The findings offer significant contributions to the field of nonlinear science and optical communications.
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