Construction of optical pulses and other solutions to optical fibers in absence of self-phase modulation

This paper investigates the optical solitons to the Biswas-Arshed equation (BAE) with third-order dispersion and self-steepening coefficients that communicate pulse propagation in fiber optics. The equation is considered where self-phase modulation is negligibly small and hence removed. Under different constraint conditions, the extended Fan sub-equation method (EFSEM) is used to derive the different kinds of solutions in the forms of bright, dark, singular, complex and combined solitons. In addition, Jacobi elliptic function (JEF) periodic, hyperbolic-type solutions are secured. This technique is useful for solving NLPDEs because it combines the results of numerous operations to provide previously extracted solutions as well as fresh solutions. While describing the physical representation of particular solutions, we also plot 3D, and 2D graphs by picking appropriate values for the solutions' related parameters. On the basis of a comparison of our results with well-known ones, the study indicates that our answers are innovative. Nonlinear dynamical behavior of a particular system can be improved and the methodology applied can be shown to be effective by these findings. Engineering modelers will greatly benefit from this study, according to our opinion. Based on the results obtained, the computational method adopted is efficient and direct, as well as succinct and can be applied to complex systems.

Automated summary

This paper investigates the optical solitons in fiber optics described by the Biswas-Arshed equation with third-order dispersion and self-steepening coefficients. Using the extended Fan sub-equation method, various types of soliton solutions are derived, including bright, dark, singular, complex, and combined solitons. In addition, periodic solutions based on Jacobi elliptic functions are obtained. The study shows that the results are innovative and can improve the nonlinear dynamical behavior of specific systems. The proposed computational method is efficient and can be applied to complex systems.