Multi-vector with nonlocal and non-singular kernel ultrashort optical solitons pulses waves in birefringent fibers

Multi-vector with nonlocal and non-singular kernel ultrashort optical solitons pulses waves in birefringent fibers
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DOI:
10.1016/j.chaos.2022.113098
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发表时间:
2023-01-09
影响因子:
7.8
通讯作者:
Khater, Mostafa M. A.
Khater, Mostafa M. A.
中科院分区:
数学1区
文献类型:
--
作者:
Khater, Mostafa M. A.

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这项研究研究了非线性分数 Lakshmanan-Porsezian-Daniel 方程 LPD epsilon 的不同结构和新颖的孤立波解。研究的模型描述了双折射光纤中波脉冲的动力学和物理特性,该光纤包含两个矢量孤子。采用一种新的非局部非奇异核的分数阶导数将模型的分数形式转换为整数阶常微分方程。三种最新的计算方案(新颖的广义库德里亚索夫(NKud)方法、哈特II(Khat II)方法、萨达尔子方程(SS epsilon)方法)被用来构造各种结构中LPD epsilon的一些新颖的孤立波解。结果结果通过一些不同的二维、三维、密度和极坐标图直观地展示出来,以解释所研究模型的一些新特性。 Mathematica 13.1 根据原始模型检查所有输入和输出,以进一步提高可信度。
This research study investigates different structures and novel solitary wave solutions of to the nonlinear fractional Lakshmanan-Porsezian-Daniel equation LPD epsilon. The investigated model describes the dynamical and physical properties of the wave pulse in birefringent fibers which incorporates two vector solitons. A new fractional derivative with nonlocal and non-singular kernel is used to convert the model's fractional form into ordinary differential equation with an integer order. Three recent computational schemes (novel generalized Kudryashov (NKud) method, Khater II (Khat II) method, Sardar Sub-equation (SS epsilon) method) are employed to construct some novel solitary wave solution of the LPD epsilon in various structures. The outcome results are visually demonstrated through some distinct graphs in 2-, 3-dimensional, density, and polar plots to explain some novel properties of the investigated model. Mathematica 13.1 checks all inputs and outputs against the original model for further confidence.