On the exploration of periodic wave soliton solutions to the nonlinear integrable Akbota equation by using a generalized extended analytical method.

In the present study, we explored the optical solitons with novel physical structure in the nonlinear Akbota equation on the enhancement of extended analytical approach. The nonlinear Akbota equation having enriched applications in physics, such as fiber optics, propagation of wave, fluid mechanics, and nonlinear optics. First time, the novel structure of solitons build in trigonometric, rational, and exponential functions, they represented to the different structure of solitons, periodic, peakon bright, peakon dark, bell bright and dark, kink wave, anti-kink wave, periodic bright and dark, singular, periodic kink and anti-kink waves, and mixed solitons. We demonstrated the physical interpretation of the newly explored solutions on the basis of absolute, real, imaginary values of the functions. The physical structure visualizing in contour, two and three dimensional graphics by utilized the symbolic computation with numerical simulation on the bases of constant parameters. These explored solutions may helpful to understand the nonlinear phenomena in different fields of engineering and physics like quantum mechanics, communication and information engineering, electronic engineering, nonlinear optics, laser optics, ocean engineering, signal processing system and optical fibers. The newly and innovative secured solitons in the proposed advanced research shed-light on the effectiveness, simplicity, strengths, efficiency to the enhanced utilized technique and also proposed approach is capable to investigate other nonlinear models.