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Applied Mathematics & Information Sciences
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Volumes > Volume 19 > No. 6

 
   

Dynamics of Ultrashort Optical Pulses in Nonlinear Media Interplay

PP: 1295-1306
doi:10.18576/amis/190605
Author(s)
Mohamed A. Hafez, Romana Ashraf, Ali Akgu ̈l, M. Qasymeh, Shabbir Hussain,
Abstract
In this paper, we apply the extended Fan’s sub equation method to analyze the optical solitons solutions of the coupled nonlinear Schro ̈dinger-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 Schro ̈dinger-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 Schro ̈dinger-Poisson system. We construct optical soliton solutions, including bright, dark, and singular types Aˆ to illustrate the method Aˆ efficacy. It is possible to better comprehend the underlying nonlinear phenomena in optical systems by using the derived Aˆ optical Aˆ soliton solutions, which are remarkably stable and robust. In short, this research provides a new approach for studying optical Aˆ solitons solutions inside the coupled nonlinear Schro ̈dinger-Poisson system framework and clarifies the complex interplay Aˆ between dispersive and nonlinear effects that influence the behavior of optical pulses. The obtained optical Aˆ solitons solutions Aˆ have the potential to further our understanding of nonlinear optics and enable in the development of new, more useful photonic devices. The solutionsAˆ presentedAˆ 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.

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