The exact solutions of the fractional-stochastic Fokas-Lenells equation in optical fiber communication

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.3934/era.2023180

S. Albosaily, W. Mohammed, M. El-Morshedy

引用次数: 0

Abstract

The fractional-stochastic Fokas-Lenells equation (FSFLE) in the Stratonovich sense is taken into account here. The modified mapping method is used to generate new trigonometric, hyperbolic, elliptic and rational stochastic fractional solutions. Because the Fokas-Lenells equation has many implementations in telecommunication modes, complex system theory, quantum field theory, and quantum mechanics, the obtained solutions can be employed to describe a wide range of exciting physical phenomena. We plot several 2D and 3D diagrams to demonstrate how multiplicative noise and fractional derivatives affect the analytical solutions of the FSFLE. Also, we show how multiplicative noise at zero stabilizes FSFLE solutions.

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光纤通信中分数-随机Fokas-Lenells方程的精确解

这里考虑了Stratonovich意义上的分数随机Fokas-Lenells方程(fsle)。利用改进的映射方法生成新的三角解、双曲解、椭圆解和有理随机分式解。由于Fokas-Lenells方程在通信模式、复杂系统理论、量子场论和量子力学中有许多实现，所得到的解可以用来描述广泛的令人兴奋的物理现象。我们绘制了几个2D和3D图表来演示乘法噪声和分数阶导数如何影响fsle的解析解。此外，我们还展示了零处的乘法噪声如何稳定fsle解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.