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Exploring the dynamic nature of soliton solutions to the fractional coupled nonlinear Schrödinger model with their sensitivity analysis

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Abstract

This study investigates the fractionally coupled nonlinear Schrödinger model (FCNLSM), which has numerous applications in different fields of physics, such as optics, condensed matter physics and plasma physics. The study employs two versatile techniques, the unified technique and the modified \({\mathcal {F}}\)-expansion technique, to explore various solutions. By applying these techniques, we obtain novel soliton solutions, which are expressed in terms of rational, hyperbolic and trigonometric solutions, along with kink, periodic and singular soliton solutions. Additionally, multi-wave U-shaped solitary wave solutions are assessed. The sensitivity analysis of the model is investigated and distinctive 2-dimensional, 3-dimensional and density graphs are used to illustrate the behavioral characteristics of the retrieved solutions. As far as we know, this manner of investigation has never been explored before. The results demonstrate the reliability, consistency and effectiveness in finding precise solutions to the various difficult nonlinear issues that arise in engineering, applied sciences and nonlinear optics.

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Authors and Affiliations

  1. Department of Mathematics, Mirpur University of Science and Technology, (MUST), Mirpur, AJK, 10250, Pakistan

    Asghar Ali & Sara Javed

  2. Department of Mathematics, Faculty of Science, University of Gujrat, Gujrat, 50700, Pakistan

    Jamshad Ahmad

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  1. Asghar Ali
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  2. Jamshad Ahmad
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  3. Sara Javed
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Contributions

AA: formal analysis, review and editing. JA: supervision, reviewed, formal analysis and editing. SJ: conceptualization, formal analysis, writing the original draft, review, software implementation and editing.

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Correspondence to Jamshad Ahmad.

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Ali, A., Ahmad, J. & Javed, S. Exploring the dynamic nature of soliton solutions to the fractional coupled nonlinear Schrödinger model with their sensitivity analysis. Opt Quant Electron 55, 810 (2023). https://doi.org/10.1007/s11082-023-05033-y

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