Exploration of unexpected optical mixed, singular, periodic and other soliton structure to the complex nonlinear Kuralay-IIA equation

In this research work, we explored novel soliton solutions to the complex nonlinear Kuralay-II (K-IIA) equation on the bases of computational simulation. This complex nonlinear equation is used in many fields such as, optical fibers, ferromagnetic materials and nonlinear optics. We utilized the extended simple equation method on complex nonlinear Kuralay-IIA equation and extracted the unexpected soliton solutions. The extracted soliton solutions having various kinds of physical structure such as bright solitons, periodic wave solitons, kink wave solitons, peakon solitons, dark solitons, anti-kink wave solitons, mixed bright and dark solitons, periodic travelling waves, singular solitons and solitary waves. The graphically analysis of obtained solutions demonstrated with absolute, real and imaginary values of the function visualizing in three dimensional, two dimensional and contour graphics under the numerical simulation by utilizing the Mathematica software. The extracted soliton solutions in this research provide valuable insights into this complex nonlinear equation. The results offer a framework for further analysis, making the solutions effective, easy to apply, and reliable for future complex nonlinear problems development, making them valuable for future. The method used in this work effective, reliable, powerful, easy to apply for other nonlinear partial differential equations.