Some specific optical wave solutions and combined other solitons to the advanced (3+1)-dimensional Schrödinger equation in nonlinear optical fibers

摘要

Abstract In this paper, we used the generalized exponential rational function approach to extract a collection of different optical wave solutions to the highly nonlinear Schrödinger equation in (3+1) dimensions, which illustrates the formation of ultra-short optical pulses in highly nonlinear media. The applied approach is straightforward and robust, and it can extract various types of optical soliton solutions into a single framework. Dark and bright solitons, singular-form solitons, periodic waves, mixed-form solitons, and rational, exponential, and complex solutions are among the outcomes that are significant to diverse applied scientific applications in nonlinear optics, and nonlinear sciences. Finally, several soliton solutions in 3D, 2D and contour graphics, as well as the interactions of evolutionary waves, are presented to better understand the changing dynamics of soliton wave solutions in the model under consideration. The findings of this study are more beneficial, useful, and favorable in the real-world applications of nonlinear optics, optical communications, and optical fibers.