Dynamics of Ultrashort Optical Pulses in Nonlinear Media Interplay

Abstract

In this paper, we apply the extended Fan’s sub equation method to analyze the optical solitons solutions of the coupled nonlinear Schrödinger-Poisson system. The interplay of self-phase modulation, cross-phase modulation, and dispersion governs the pulse dynamics in nonlinear media, where the propagation of ultrashort optical pulses can be best explained by the coupled nonlinear Schrödinger-Poisson system. An effective analytical tool for solving a variety of nonlinear partial differential equations is the extended Fan sub equation method, which is used in our paper. Explicit analytic optical solitons solutions can be determined by this method, which also introduces an interesting auxiliary function and simplifies the coupled nonlinear Schrödinger-Poisson system. We construct optical soliton solutions, including bright, dark, and singular types  to illustrate the method  efficacy. It is possible to better comprehend the underlying nonlinear phenomena in optical systems by using the derived  optical  soliton solutions, which are remarkably stable and robust. In short, this research provides a new approach for studying optical  solitons solutions inside the coupled nonlinear Schrödinger-Poisson system framework and clarifies the complex interplay  between dispersive and nonlinear effects that influence the behavior of optical pulses. The obtained optical Âsolitons solutions  have the potential to further our understanding of nonlinear optics and enable in the development of new, more useful photonic devices. The solutions presented here provide a solid basis for future research in the fields of nonlinear optics and plasma physics, and they make progress toward the current study of coupled nonlinear systems soliton dynamics. © 2025 NSP Natural Sciences Publishing Cor.