Optical Solitons for the Fokas-Lenells Equation with Beta and M-Truncated Derivatives

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-11-16 DOI:10.1155/2023/8883811

Farah M. Al-Askar

引用次数: 0

Abstract

The Fokas-Lenells equation (FLE) including the M-truncated derivative or beta derivative is examined. Using the modified mapping method, new elliptic, hyperbolic, rational, and trigonometric solutions are created. Also, we extend some previous results. Since the FLE has various applications in telecommunication modes, quantum field theory, quantum mechanics, and complex system theory, the solutions produced may be used to interpret a broad variety of important physical process. We present some of 3D and 2D diagrams to illustrate how M-truncated derivative and the beta derivative influence the exact solutions of the FLE. We demonstrate that when the derivative order decreases, the beta derivative pushes the surface to the left, whereas the M-truncated derivative pushes the surface to the right.

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具有Beta和m截断导数的Fokas-Lenells方程的光学孤子

对包括m截断导数或beta导数在内的Fokas-Lenells方程(FLE)进行了检验。利用改进的映射方法，创建了新的椭圆解、双曲解、有理解和三角解。同时，我们扩展了之前的一些结果。由于FLE在电信模式，量子场论，量子力学和复杂系统理论中有各种应用，因此产生的解可用于解释各种重要的物理过程。我们给出了一些3D和2D图表来说明m截断导数和beta导数如何影响FLE的精确解。我们证明，当导数阶数降低时，beta导数将曲面向左推，而m截断的导数将曲面向右推。

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.