Application of the unified method to solve the Biswas–Arshed model

Mohammad Safi Ullah, Alrazi Abdeljabbar, Harun Or Roshid, M. Zulfikar Ali

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38 Scopus citations

Abstract

We apply the unified method to retrieve optical soliton solutions of the Biswas–Arshed model (BAM) with the Kerr law nonlinearity in this paper. We first derive the ordinary differential form of this model from its partial differential form via a variable transformation. Then we add many new dynamical solitons of combo trigonometric, hyperbolic, and rational function solutions by Maple-18 package in this literature. The derived solutions exhibit some dynamics as singular solitons with exponentially increasing and decreasing amplitudes, singular solitons with gradually increasing and decreasing amplitudes, and singular solitons with constant amplitudes. Moreover, W-shaped solitons with multiple bright and dark waves, double periodic optical solitons with exponentially increasing and decreasing amplitudes, and double periods with symmetric and asymmetric amplitudes are obtained. Besides this, various dynamical properties of the obtained solutions are presented graphically.

Original languageBritish English
Article number105946
JournalResults in Physics
Volume42
DOIs
StatePublished - Nov 2022

Keywords

  • Biswas–Arshed model (BAM)
  • Optical solitons
  • Singular solitons
  • Unified method

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