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

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.