ORIGINAL RESEARCH article
Front. Appl. Math. Stat.
Sec. Mathematical Physics
Volume 11 - 2025 | doi: 10.3389/fams.2025.1584929
Exact Optical Soliton Solutions and Interaction Dynamics in Fractional Nonlinear Systems
Provisionally accepted
- 1Carthage University, Tunis, Tunisia
- 2Tunis Carthage University, La Soukra, Ariana, Tunisia
- 3Umm al-Qura University, Mecca, Saudi Arabia
- 4Shaqra University, Kingdom of Saudi Arabia, Shaqra, Saudi Arabia
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This paper aims to provide a rigorous analytical investigation of multisoliton dynamics within a conformable concatenated nonlinear framework that unifies the nonlinear Schr ödinger, Sasa Satsuma, and Lakshmanan Porsezian Daniel equations through the incorporation of a conformable fractional derivative. By extending classical calculus to encompass fractional-order dynamics, the model captures intricate higher-order dispersion and non-linear interactions that critically influence pulse propagation in optical fibers. Employing advanced techniques such as the modified simplest equation method and the Kudryashov method, we derive a comprehensive family of exact soliton solutions including bright, dark, and mixed profiles and establish explicit parameter relations governing their stability and evolution. Detailed numerical simulations further elucidate the effects of the fractional parameter on soliton propagation, interaction dynamics, and energy conservation.
Keywords: Conformable fractional derivative, Nonlinear schr ödinger equation, Sasa Satsuma equation, soliton solutions, Modified simplest equation method, Kudryashov method, Optical fiber dynamics, Multi-Soliton Interactions
Received: 28 Feb 2025; Accepted: 16 Jun 2025.
Copyright: © 2025 Chniti, Alzahrani and Almutairi. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
* Correspondence: chokri Chniti, Carthage University, Tunis, Tunisia
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