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Optical closed form soliton structures for the Kuralay-II equation in nonlinear optical complex media
Aleeza Arshad1, Muhammad Waqas Yasin2, Iqra Saeed3
1Department of Mathematics, University of Narowal, Narowal, Pakistan.
This study explores optical soliton solutions for the Kuralay-IIA equation using the modified exponential rational function method. Researchers found various soliton types, including dark, singular, and complex solutions, offering insights into nonlinear optics.
Area of Science:
- Nonlinear Optics
- Mathematical Physics
Background:
- The Kuralay-IIA equation models phenomena in nonlinear optics, gauge equivalency, and ferromagnetic materials.
- Understanding its optical soliton solutions is crucial for advancing these fields.
Purpose of the Study:
- To investigate and extract exact optical soliton solutions for the Kuralay-IIA equation.
- To analyze the physical behavior of these nonlinear waves.
Main Methods:
- Wave transformations were employed to convert the Kuralay-IIA equation into an ordinary differential equation (ODE).
- The modified exponential rational function (MERF) method was utilized to derive the exact solutions.
Main Results:
- Various types of optical soliton solutions were successfully obtained, including dark, singular, complex dark-singular, solitary wave, and exponential function solutions.
- Selected solutions were visualized using 3-D surface plots, line graphs, and contour plots to illustrate their physical characteristics.
Conclusions:
- The MERF method effectively provides diverse optical soliton solutions for the Kuralay-IIA equation.
- The visualizations offer valuable insights into the complex dynamics of nonlinear wave propagation described by this model.
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