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分数阶微扰格尔季科夫 - 伊万诺夫方程的光学孤子解、动力学及灵敏度分析

Optical soliton solutions, dynamical and sensitivity analysis for fractional perturbed Gerdjikov-Ivanov equation.

作者信息

Shakeel Muhammad, Alshammari Fehaid Salem, Ahmadzai Hameed Gul

机构信息

School of Mathematics and Statistics, Central South University, Changsha, 410083, China.

Department of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia.

出版信息

Sci Rep. 2025 Aug 22;15(1):30843. doi: 10.1038/s41598-025-09571-1.

DOI:10.1038/s41598-025-09571-1
PMID:40847028
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC12373943/
Abstract

This work constructs the distinct type of solitons solutions to the nonlinear Perturbed Gerdjikov-Ivanov (PGI) equation with Atangana's derivative. It interprets its optical soliton solutions in the existence of high-order dispersion. For this purpose, a wave transformation is applied to convert the fractional PGI Equation to a non-linear ODE. Solitons solutions and further solutions of the obtained model are sorted out by using the Sardar sub-equation (SSE) method and the generalized unified method. The different types of soliton solutions such as bright, kink, periodic, and exact dark solitons are achieved. Dynamical and sensitivity analysis is carried out for the obtained results. 3D, 2D, and contour graphs of attained solutions are presented for elaboration. Nonlinear model have played an important role in optic fibber, optical communications and optical sensing.

摘要

这项工作构造了具有阿坦加纳导数的非线性微扰格尔季科夫 - 伊万诺夫（PGI）方程的不同类型孤子解。它在存在高阶色散的情况下解释其光学孤子解。为此，应用波变换将分数阶PGI方程转换为非线性常微分方程。通过使用萨达尔子方程（SSE）方法和广义统一方法，整理出所得模型的孤子解及进一步的解。获得了不同类型的孤子解，如亮孤子、扭结孤子、周期孤子和精确暗孤子。对所得结果进行了动力学和灵敏度分析。给出了所得解的三维、二维和等高线图以作说明。非线性模型在光纤、光通信和光学传感中发挥了重要作用。

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本文引用的文献

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