具有四种功率非线性的传播脉冲广义模型的守恒定律

IF 3.1 3区物理与天体物理 Q2 Engineering

Optik Pub Date : 2024-09-18 DOI:10.1016/j.ijleo.2023.170797

Nikolay A. Kudryashov

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引用次数: 0

摘要

研究考虑了具有四个功率非线性的传播脉冲的通用模型。所研究的方程是对一些著名模型的概括，使我们能够评估各种过程对脉冲传播的影响。我们发现了该方程的三个守恒定律。该方程没有通过 Painlevé 检验，Cauchy 问题也无法通过反散射变换求解。考虑到行波还原，找到了广义非线性薛定谔方程的解析解。给出了与数学模型相对应的光学孤子。计算了明亮光学孤子的保守量。

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Conservation laws of a generalized model for propagation pulses with four power nonlinearities

A generalized model for propagation pulses with four power nonlinearities is considered. The equation studied is the generalization of some well-known models and allows us to evaluate the influence of various processes on pulse propagation. The three conservation laws of the equation are found. The equation does pass not the Painlevé test and the Cauchy problem cannot be solved by the inverse scattering transform. Analytical solutions of the generalized nonlinear Schrödinger equation are found taking into account the traveling wave reduction. Optical solitons corresponding to the mathematical model are given. Conservative quantities for the bright optical soliton are calculated.

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来源期刊

Optik 物理-光学

CiteScore

6.90

自引率

12.90%

发文量

1471

审稿时长

46 days

期刊介绍： Optik publishes articles on all subjects related to light and electron optics and offers a survey on the state of research and technical development within the following fields: Optics: -Optics design, geometrical and beam optics, wave optics- Optical and micro-optical components, diffractive optics, devices and systems- Photoelectric and optoelectronic devices- Optical properties of materials, nonlinear optics, wave propagation and transmission in homogeneous and inhomogeneous materials- Information optics, image formation and processing, holographic techniques, microscopes and spectrometer techniques, and image analysis- Optical testing and measuring techniques- Optical communication and computing- Physiological optics- As well as other related topics.