Orthogonal multi-peak solitons from the coupled fractional nonlinear Schrödinger equation

Mateus C.P. dos Santos

Chaos, Solitons & Fractals, 2024, vol. 183, issue C

Abstract: In this paper, we investigate the dynamics and stability of multi-peak solitons from the coupled nonlinear Schrödinger equation with the fractional dimension based on Lévy random flights. By implementing linear stability analysis and direct simulations, we demonstrate regions where the single and multi-peak modes are stable. Analysis of perturbed coupled solitons confirms the stability of higher-order modes compared to lower-order modes under the same configurations. The stability diagrams show that the force coupling, Lévy index, power, and the nonlinear intensity significantly influence the stability of high-order modes. Our findings indicate that stability is favored in self-defocusing systems with high Lévy indices under weak coupling conditions, with higher-order states exhibiting smaller stability regions.

Keywords: Multi-peak solitons; Lévy index; Nonlinear fractional Schrödinger equations; Linear stability analysis (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:183:y:2024:i:c:s0960077924004685

DOI: 10.1016/j.chaos.2024.114916

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