10.1007/s40096-021-00431-3

Perturbed optical solitons with conformable time-space fractional Gerdjikov–Ivanov equation

  • M. Younis1,
  • M. Bilal1,
  • S. U. Rehman1,
  • Aly R. Seadawy*2,
  • S. T. R. Rizvi3,
  1. Department of Computer Science, University of the Punjab, Lahore, 54000, PK
  2. Mathematics Department, Faculty of science, Taibah University, Al-Madinah Al-Munawarah, SA
  3. Department of Mathematics, COMSATS University Islamabad, Lahore, PK

Published in Issue 2021-08-28

How to Cite

Younis, M., Bilal, M., Rehman, S. U., Seadawy, A. R., & Rizvi, S. T. R. (2021). Perturbed optical solitons with conformable time-space fractional Gerdjikov–Ivanov equation. Mathematical Sciences, 16(4 (December 2022). https://doi.org/10.1007/s40096-021-00431-3
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Abstract

Abstract In this work, we investigate the perturbed optical solitons to the time-space fractional Gerdjikov–Ivanov equation with conformable derivatives having group velocity dispersion and quintic nonlinearity coefficients that exhibits the pulse behavior in nonlinear optics. Abundant families of optical solitons in single and combined forms like dark, singular, dark-singular, bright-dark are emerged by new Φ6\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Phi ^6$$\end{document} -model expansion method. Singular periodic, rational function solutions are also obtained. The constraint conditions for valid solutions are also enumerated. Moreover, the fractional behavior of reported outcomes is depicted through 2D, 3D and contour profiles by selecting appropriate parameters. The obtained outcomes exhibit that the applied mathematical gadget is direct, efficient and concise to solve many complex nonlinear phenomena by the soft computations.

Keywords

  • Optical solitons,
  • New Φ6\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Phi ^6$$\end{document}-model expansion method,
  • TSFGI equation,
  • Conformable derivatives

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