Bright solitons under fractional diffraction and various harmonic potentials

IF 2.3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Physics Letters A Pub Date : 2025-04-24 DOI:10.1016/j.physleta.2025.130577

Zhenkuan Chen , Dumitru Mihalache , Milivoj R. Belić , Xiaowei Lu , Yi Cai , Jingzhen Li , Qing Wang , Xing Zhu , Liangwei Zeng

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引用次数: 0

Abstract

We demonstrate that bright solitons can be sustained in various harmonic potentials under fractional diffraction. In addition to the parabolic shape, the potentials include an added constant strength. By varying that strength, we examine soliton profiles, their powers, and stability regions. The power curves of these solitons as functions of the Lévy index and the propagation constant are also presented, illustrating significant changes. The stability domains are explored by the linear stability analysis and verified by direct numerical simulations. We find that all quantities describing solitons are highly sensitive to variations in the three relevant parameters: the constant strength, the Lévy index, and the propagation constant. Interestingly, the instability of solitons is promoted by an increase in the constant strength. Finally, examples of both stable and unstable propagations of perturbed solitons are depicted, for different values of parameters.

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分数衍射和各种谐波势下的亮孤子

我们证明了在分数衍射下，亮孤子可以在各种谐波电位下持续存在。除了抛物线形状外，电位还包括一个附加的恒定强度。通过改变这种强度，我们研究了孤子的轮廓、它们的功率和稳定区域。并给出了这些孤子的功率随lsamvy指数和传播常数的函数曲线，说明了它们的显著变化。通过线性稳定性分析探索了稳定域，并通过直接数值模拟进行了验证。我们发现所有描述孤子的量都对三个相关参数的变化高度敏感：恒定强度、lsamvy指数和传播常数。有趣的是，恒定强度的增加促进了孤子的不稳定性。最后，给出了摄动孤子在不同参数值下的稳定和不稳定传播的例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Physics Letters A 物理-物理：综合

CiteScore

5.10

自引率

3.80%

发文量

493

审稿时长

30 days

期刊介绍： Physics Letters A offers an exciting publication outlet for novel and frontier physics. It encourages the submission of new research on: condensed matter physics, theoretical physics, nonlinear science, statistical physics, mathematical and computational physics, general and cross-disciplinary physics (including foundations), atomic, molecular and cluster physics, plasma and fluid physics, optical physics, biological physics and nanoscience. No articles on High Energy and Nuclear Physics are published in Physics Letters A. The journal''s high standard and wide dissemination ensures a broad readership amongst the physics community. Rapid publication times and flexible length restrictions give Physics Letters A the edge over other journals in the field.