具有双幂律非线性的广义共振色散非线性薛定谔方程的光学孤子和调制不稳定性分析

IF 3.3 3区工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC

Optical and Quantum Electronics Pub Date : 2024-07-23 DOI:10.1007/s11082-024-07278-7

Jiangyi Gu, Xiaogang Tang

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引用次数: 0

摘要

对于以共振非线性薛定谔方程为模型的系统，我们旨在研究孤子动力学和系统的稳定性。我们将该方程扩展为广义形式（GRD-NLSE），并利用改进的 F 展开法推导出各种孤子解，包括 (1 + 1) 维和 (2 + 1) 维模型的亮孤子、扭结孤子和奇异孤子。此外，我们还以图表说明了孤子行为。为了分析系统稳定性，我们进行了调制不稳定性和孤子稳定性分析。我们的研究结果为 GRD-NLSE 系统中孤子的实验研究和观测提供了宝贵的指导。

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Optical solitons and modulation instability analysis for the generalized resonant dispersive nonlinear Schrödinger equation with dual power-law nonlinearity

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Optical solitons and modulation instability analysis for the generalized resonant dispersive nonlinear Schrödinger equation with dual power-law nonlinearity

For systems modeled by the resonant nonlinear Schrödinger equation, we aim to investigate the soliton dynamics and the stability of the system. We extend the equation to a generalized form (GRD-NLSE) and utilize the modified F-expansion method to derive various soliton solutions, including bright, kink, and singular solitons for both (1 + 1)-dimensional and (2 + 1)-dimensional models. Additionally, we graphically illustrate soliton behavior. To analyze system stability, we perform modulation instability and soliton stability analyses. Our findings provide valuable guidance for experimental studies and observations of solitons in GRD-NLSE systems.

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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.