Dynamical behavior of perturbed Gerdjikov–Ivanov equation through different techniques

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-11-09 DOI:10.1186/s13661-023-01792-5

Hamood Ur Rehman, Ifrah Iqbal, M. Mirzazadeh, Salma Haque, Nabil Mlaiki, Wasfi Shatanawi

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Abstract

Abstract The objective of this work is to investigate the perturbed Gerdjikov–Ivanov (GI) equation along spatio-temporal dispersion which explains the dynamics of soliton dispersion and evolution of propagation distance in optical fibers, photonic crystal fibers (PCF), and metamaterials. The algorithms, namely hyperbolic extended function method and generalized Kudryashov’s method, are constructed to obtain the new soliton solutions. The dark, bright, periodic, and singular solitons are derived of the considered equation with the appropriate choice of parameters. These results are novel, confirm the stability of optical solitons, and have not been studied earlier. The explanation of evaluated results is given by sketching the various graphs in 3D, contour and 2D plots by using Maple 18. Graphical simulations divulge that varying the wave velocity affects the dynamical behaviors of the model. In summary, this research adds to our knowledge on how the perturbed GI equation with spatio-temporal dispersion behaves. The obtained soliton solutions and the methods offer computational tools for further analysis in this field. This work represents an advancement in our understanding of soliton dynamics and their applications in photonic systems.

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摄动Gerdjikov-Ivanov方程的动力学行为

摘要本文研究了沿时空色散的扰动Gerdjikov-Ivanov (GI)方程，该方程解释了光纤、光子晶体光纤(PCF)和超材料中孤子色散的动力学和传播距离的演化。构造了双曲扩展函数法和广义Kudryashov法来获得新的孤子解。暗孤子、亮孤子、周期孤子和奇异孤子通过适当的参数选择推导出来。这些结果是新颖的，证实了光孤子的稳定性，并且以前没有研究过。利用Maple 18绘制了三维、等高线和二维图形，对评价结果进行了说明。图形模拟表明，改变波速会影响模型的动力学行为。总之，这项研究增加了我们对扰动GI方程的时空色散行为的认识。所得的孤子解和方法为该领域的进一步分析提供了计算工具。这项工作代表了我们对孤子动力学及其在光子系统中的应用的理解的进步。

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.