New soliton solutions of nonlinear Kudryashov's equation via Improved tan -expansion approach in optical Fi ber

DOI: 10.48129/kjs.12441

Authors

  • Mustafa Inc Department of Computer Engineering, Biruni University, Istanbul, Turkey.
  • Saima Arshed Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, Pakistan
  • Nauman Raza Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, Pakistan
  • Asma Rashid Butt Department of Mathematics, University of Engineering and Technology, Lahore, Pakistan.

DOI:

https://doi.org/10.48129/kjs.12441

Abstract

In this article, a newly introduced model nonlinear Kudryashov's equation with anti-cubic non-linearity is considered for extraction of soliton solutions. This model is utilized to depict the propagation of modulated envelope signals which disseminate with some group velocity. To find a solution, an appropriate traveling wave hypothesis is used to covert the given model into a nonlinear ordinary differential equation. An analytical technique, the Improved tan-expansion approach has been employed on the governing model to construct many new forms of dark soliton, singular soliton, periodic soliton, dark-singular combo soliton, and rational solution. The constraint conditions for the existence of these solitons have also been provided. The physical significance of the proposed equation has been provided with a graphical representation of the constructed solutions.

Published

14-12-2021

Issue

Section

Physics