Effect of the free parameters on the Biswas-Arshed model with a unified technique

• Published in: Chinese journal of physics (Taipei) 2022-06, Vol.77, p.2501-2519
• Main Authors: Islam, S M Rayhanul, Bashar, Md Habibul, Arafat, S M Yiasir, Wang, Hanfeng, Roshid, Md Mamunur
• Format: Article
• Language: English
• Subjects: Biswas–arshed model; Nonlinear optics; Optical solution; Unified method
• ISSN: 0577-9073
• DOI: 10.1016/j.cjph.2022.04.022

•The unified method is applied to the Biswas-Arshad model and obtained a lot of optical soliton solutions of the stated model and each solutions have contain many types of parameters are associated with the mode.•We analyzed the nature of the soliton solutions by the three dimensional (3D) and the two dimensional (2D) wave profile using the various values of the parameters ascertain to the obtained solutions.•We have discussed the effects of the free parameters of the Biswas-Arshad model and also studied the comparison between our solutions and previous literature. The solitary dynamics of the Biswas–Arshed (BA) model without self-phase modulation are investigated in the present study. To compensate for the deserted small group velocity dispersion, the BA model includes higher-order spatio-temporal dispersion. The optical soliton solutions of the BA model are examined to use the unified strategy. The solutions to the BA model's nonlinear forms are rogue wave, periodic wave solution, periodic combined singular soliton, combined singular soliton, and periodic wave solution. The three-dimensional (3D) and two-dimensional (2D) graphs depict the dynamical physical appearance of the obtained solutions. We compared our results to those found in the existing studies. The 2D comparison chart additionally explored the consequences of the wave profile based on the values of the parameters k and δ. Finally, this technique can solve increasingly complex models, yielding a large number of soliton solutions. [Display omitted]