Solitons and other solutions to the extended Gerdjikov–Ivanov equation in DWDM system by the exp(-ϕ(ζ))\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\exp (-\phi (\zeta ))$$\end{document}-expansion method

被引：0

作者：

Saleh M. Hassan ^{[1
]}

Abdulmalik A. Altwaty ^{[2
]}

机构：

[1] Ain Shams University,Department of Mathematics, Faculty of Science

[2] University of Benghazi,Department of Mathematics, Faculty of Science

来源：

Ricerche di Matematica | 2024年 / 73卷 / 5期

关键词：

Gerdjikov–Ivanov model; DWDM system; Kerr law; Parabolic law; The ; -expansion method; Soliton solutions; 39A14; 35Q55; 35C05; 35C08;

D O I：

10.1007/s11587-022-00701-9

中图分类号：

学科分类号：

摘要：

The extended Gerdjikov–Ivanov equation in dense wavelength division multiplexed system for both kerr and parabolic law nonlinearities have been studied using the exp(-ϕ(ζ))\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\exp (-\phi (\zeta ))$$\end{document}-expansion method. Completely new parameterized travel wave solutions are extracted. When special values are assigned to the parameters, Kink soliton solutions, periodic soliton solutions, and rational function solutions are derived. Figures have been added to indicate the behavior of solutions in some selected cases.

引用

页码：2397 / 2410

页数：13

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