Abstract
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.
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