Optical soliton solutions and modulation instability for unstable conformable Schrödinger model

Muhammad Nadeem, Omar Abu Arqub and Fawziah M. Alotaibi
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Muhammad Nadeem: School of Mathematics and Statistics, Qujing Normal University, Qujing 655011, P. R. China
Omar Abu Arqub: Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt 19117, Jordan
Fawziah M. Alotaibi: Department of Mathematics, Turabah University College, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia

International Journal of Modern Physics C (IJMPC), 2025, vol. 36, issue 01, 1-23

Abstract: The unstable time fractional Schrödinger model (UTFSM) is studied through the development of disturbances in marginally stable or unstable media. A modified Sardar-sub equation technique (MSSE) for a conformable fractional-order nonlinear evolution model is presented in this paper. The objective here is to construct new wave solutions for UTFSM. These solutions have particular relevance in quantum physics and assume several forms such as rational, exponential, trigonometric and hyperbolic functions, as well as combo solutions. This technique produces various shapes of dark, kink-type solitons and periodic solitary waves by setting proper parametric values. These discrete physical frameworks contribute to an understanding from analysis of unstable dynamical models. Additionally, we investigate modulation instability and stability analysis to ensure that obtained solutions are highly stable. The multiplicity of waves and solutions emphasizes how this technique can be used for different nonlinear fractional models in quantum physics and other areas.

Keywords: Unstable Schrödinger model; conformable fractional derivative; modified Sardar-sub equation technique; optical soliton solutions; stability analysis (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0129183124501754

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