A variety of solitons and other wave solutions of a nonlinear Schrödinger model relating to ultra-short pulses in optical fibers

Islam Md. Tarikul; Abdullah Farah Aini; Gómez-Aguilar J. F.

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A variety of solitons and other wave solutions of a nonlinear Schrödinger model relating to ultra-short pulses in optical fibers

机译：A variety of solitons and other wave solutions of a nonlinear Schrödinger model relating to ultra-short pulses in optical fibers

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Abstract This paper is performed to extract solitons and other solitary wave solutions of the generalized third-order nonlinear Schrödinger model by implementing two compatible schemes like improved auxiliary equation and enhanced rational (G′/G)documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$({G}^{^{prime}}/G)$$end{document}-expansion methods. The mentioned equation governs extensive applications in numerous disciplines of engineering and applied science and demonstrate how short-ultra pulses in optical fibers and quantum characteristics interact dynamically. A stack of hyperbolic, rational, and trigonometric function solitary wave solutions is magnificently constructed by means of the indicated schemes. Some of the acquired wave solutions are characterized graphically in 3D outlines, contour forms and 2D shapes to illustrate the dynamical behavior. The density of nonlinearity is brought out by contour plots and 2D outlines make clear the dynamic nature of pulse transmission. A comparable analysis of this study with the available consequences in literature confirms the innovation and assortment of present accomplished wave solutions and hence enhances the great performance of the employed techniques.

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《Optical and Quantum Electronics》 |2022年第12期|共5页
作者
Islam Md. Tarikul; Abdullah Farah Aini; Gómez-Aguilar J. F.;
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作者单位

Universiti Sains Malaysia;

Interior Internado Palmira S/N, Col. Palmira;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种英语
中图分类光学;
关键词
The generalized third-order Schrödinger model; Soliton; Optical fibers; Improved auxiliary equation approach; Enhanced rational (G′/G)documentclass12pt{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$({G}^{^{prime}}/G)$$end{document}-expansion procedure;

A variety of solitons and other wave solutions of a nonlinear Schrödinger model relating to ultra-short pulses in optical fibers

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