Hussain Akhtar, Ibrahim Tarek F, Alanazi Faizah D, Rahimzai Ariana Abdul, Dawood Arafa A, Osman Waleed M
Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan.
Department of Mathematics, Sciences College , King Khalid University, Abha, Saudi Arabia.
Sci Rep. 2025 Sep 1;15(1):32164. doi: 10.1038/s41598-025-92387-w.
This study explores the Triki-Biswas (TB) model, a novel model describing soliton dynamics in monomodal optical fibers with non-Kerr dispersion, to obtain optical solitons. Optical bright and singular solitons were derived using the generalized Jacobi elliptic function (gJEF) method and the [Formula: see text]expansion method. Trigonometric, hyperbolic, exponential, polynomial, and rational functions are obtained. The physical dynamics of the obtained solutions confirmed the existence of known complex structures, such as shock waves, dark solitons, periodic waves, and singular periodic solutions. The simulations generated in Mathematica 11.3 are graphically presented to depict the nature of the acquired solutions. These results are novel and have not been reported previously in the literature.
本研究探索了Triki-Biswas（TB）模型，这是一种描述具有非克尔色散的单模光纤中孤子动力学的新型模型，以获得光学孤子。使用广义雅可比椭圆函数（gJEF）方法和[公式：见原文]展开法推导了光学亮孤子和奇异孤子。得到了三角函数、双曲函数、指数函数、多项式函数和有理函数。所得解的物理动力学证实了已知复杂结构的存在，如冲击波、暗孤子、周期波和奇异周期解。以图形方式展示了在Mathematica 11.3中生成的模拟结果，以描绘所获得解的性质。这些结果是新颖的，此前在文献中尚未有报道。
