New fascination of solitons and other wave solutions of a nonlinear model depicting ultra-short pulses in optical fibers

摘要

Abstract Nonlinear models arise in numerous branches of science have become the core fascination of the scholars and scientists to illustrate the complexity of the real-life phenomena involved in the nature world. This paper is conducted to extract solitons and other solitary wave solutions of the generalized nonlinear Schrodinger model of order three through two influenced techniques namely, 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 and improved tanh tools. The considered model governs wide ranging applications in numerous fields like short-ultra pulses in optical fibers. A heap of hyperbolic, rational, and trigonometric function solutions is successfully constructed by means of the suggested schemes in a decent manner. A few of the acquired outcomes are characterized graphically in 3D profiles, contour shapes and 2D outlines to describe the dynamical behavior. Contour plots describe the density of nonlinearity and 2D sketches make clear the dynamic nature of pulse propagation. A comparable experiment of the constructed results with the prevailing outcomes in literature establishes the novelty and diversity of our achieved solutions and hence confirms the high performance of the used tools as before.