具有时变系数的分数手性非线性薛定谔方程的光学结构

IF 3.3 3区工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC Optical and Quantum Electronics Pub Date : 2024-09-05 DOI:10.1007/s11082-024-06800-1

Wael W. Mohammed, Naveed Iqbal, S. Bourazza, Elsayed M. Elsayed

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引用次数: 0

摘要

本文研究了具有时变系数的分数手性非线性薛定谔方程（FCNSE-TDCs）。应用映射法得到双曲、椭圆、三角和有理分数解。这些解对于理解一些基本的复杂现象至关重要。得到的解对光学、等离子物理学和非线性量子力学等应用非常有帮助。最后，介绍了随时间变化的系数和顺应分数导数阶数对 FCNSE-TDC 精确解的影响。

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The optical structures for the fractional chiral nonlinear Schrödinger equation with time-dependent coefficients

In this paper, the fractional Chiral nonlinear Schrödinger equation with time-dependent coefficients (FCNSE-TDCs) is considered. The mapping method is applied in order to get hyperbolic, elliptic, trigonometric and rational fractional solution. These solutions are vital for understanding some fundamentally complicated phenomena. The obtained solutions will be very helpful for applications such as optics, plasma physics and nonlinear quantum mechanics. Finally, the influence of the time-dependent coefficients and the conformable fractional derivative order on the exact solutions of the FCNSE-TDCs is presented.

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来源期刊

Optical and Quantum Electronics 工程技术-工程：电子与电气

CiteScore

4.60

自引率

20.00%

发文量

810

审稿时长

3.8 months

期刊介绍： Optical and Quantum Electronics provides an international forum for the publication of original research papers, tutorial reviews and letters in such fields as optical physics, optical engineering and optoelectronics. Special issues are published on topics of current interest. Optical and Quantum Electronics is published monthly. It is concerned with the technology and physics of optical systems, components and devices, i.e., with topics such as: optical fibres; semiconductor lasers and LEDs; light detection and imaging devices; nanophotonics; photonic integration and optoelectronic integrated circuits; silicon photonics; displays; optical communications from devices to systems; materials for photonics (e.g. semiconductors, glasses, graphene); the physics and simulation of optical devices and systems; nanotechnologies in photonics (including engineered nano-structures such as photonic crystals, sub-wavelength photonic structures, metamaterials, and plasmonics); advanced quantum and optoelectronic applications (e.g. quantum computing, memory and communications, quantum sensing and quantum dots); photonic sensors and bio-sensors; Terahertz phenomena; non-linear optics and ultrafast phenomena; green photonics.