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In this paper, we consider the Biswas-Arshed model (BAM) with nonlinear Kerrand power law. We integrate these nonlinear structures of the BAM to obtainoptical exact solitons that passing through the optical fibers. To retrieve thesolutions, we apply the $\tan(\circleddash/2)$ expansion integral scheme to thestructures of the BAM nonlinearity. The novel solutions present optical shockwave, double periodic optical solitons, interaction between optical periodicwave and optical solitons, and optical periodic and rogue waves for bothstructures of the model. It is shown that the amplitude of the periodic doublesolitons waves gradually increases and reached the highest peak at the momentof interaction, and it goes to diminish for a much larger time. In fact, weshow that the amplitude of the wave for the interaction between periodic andoptical solitons, gradually increases with beat phenomena. To the purpose, allthese types of optical solitons can be frequently used to amplify or reducewaves for a certain hight. Moreover, we describe the physical phenomena of thesolitons in graphically.

Optical soliton solutions of the Biswas-Arshed model by the $\tan(\circleddash/2)$ expansion approach