Dynamical analysis of exact optical soliton structures of the complex nonlinear Kuralay-II equation through computational simulation


Iqbal M. Lu D. Seadawy A.R. Alsubaie N.E. Umurzakhova Z. Myrzakulov R.
30 December 2024World Scientific

Modern Physics Letters B
2024#38Issue 36

In this paper, we successfully extracted the various types of soliton solutions for the complex nonlinear Kuralay-II equation through the improved F-expansion method with symbolic computational software Mathematica. The extracted soliton solutions for the Kuralay-II equation are interesting, novel and more general such as anti-kink wave solitons, dark solitons, kink wave solitons, bright solitons, periodic wave solitons, mixed solitons in bright-dark soliton shape, peakon solitons, and solitary wave structures. The graphical structure of some extracted solutions is visualized in 2D, 3D and contour plottings with imaginary, real, and absolute values of the functions by using the numerical simulation. The proposed research will contribute to advancing our knowledge about the complex nonlinear Kuralay-II equation and demonstrating the applicability to the proposed approach to investigate other higher-order complex nonlinear equations. The successful investigation demonstrated that the proposed method is effective, simple, more powerful, efficient and can be utilized on a variety of other nonlinear equations. The explored solitary waves and optical solitons will play an important role in the investigation of nonlinear phenomena in various domains of science and engineering.

Complex nonlinear Kuralay-II equation , exact solitons , improved F-expansion method , periodic solitons , solitary waves

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School of Mathematical Sciences, Jiangsu University, Jiangsu, Zhenjiang, 212013, China
Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia
Mathematics Department, Khurmah University College, Taif University, Saudi Arabia
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Astana, Kazakhstan

School of Mathematical Sciences
Mathematics Department
Mathematics Department
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics

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