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Optical and Quantum Electronics

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01.09.2023

Investigating the dynamics of soliton solutions to the fractional coupled nonlinear Schrödinger model with their bifurcation and stability analysis

verfasst von: Asghar Ali, Jamshad Ahmad, Sara Javed

Erschienen in: Optical and Quantum Electronics | Ausgabe 9/2023

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Abstract

The fractional coupled nonlinear Schrödinger model (FCNLSM) is widely utilized in various fields such as nonlinear optics, optical communication systems, plasmas and mathematical physics. In this study, we aim to achieve three primary objectives. Firstly, we seek to obtain novel soliton solutions for the FCNLSM, which have not been previously reported in the literature. Secondly, we employ the Sardar sub-equation method and the improved generalized tanh-function method to effectively analyze the dynamics of solutions and solve the studied model. These methods provide valuable insights into the behavior of the system. Lastly, we conduct bifurcation and stability analyses to explore the dynamical properties of the model. To ensure the physical validity of our findings, we present 2-dimensional, 3-dimensional and contour plots using carefully selected parameter values. The obtained results demonstrate the feasibility, efficiency and computational speed of the employed techniques in obtaining comprehensive and reliable solutions. The study represents a novel and significant contribution to the field by expanding the understanding of soliton solutions in the FCNLSM, introducing new techniques for their investigation and conducting a comprehensive analysis of bifurcation and stability properties. The findings of this research open new avenues for exploration and application in the areas of nonlinear optics, optical communication systems and other related fields.

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Titel: Investigating the dynamics of soliton solutions to the fractional coupled nonlinear Schrödinger model with their bifurcation and stability analysis
verfasst von: Asghar Ali
Jamshad Ahmad
Sara Javed
Publikationsdatum: 01.09.2023
Verlag: Springer US
Erschienen in: Optical and Quantum Electronics / Ausgabe 9/2023
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-023-05060-9

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