W-shaped and various new optical features to the nonlinear Schrödinger equation with self-focusing and self-defocusing terms

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

Physics Letters A Pub Date : 2025-06-20 DOI:10.1016/j.physleta.2025.130756

Ali Khalid Salih , Hajar Farhan Ismael

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引用次数: 0

Abstract

In this paper, we employ the

(G^{'} / G, 1 / G)

-expansion method to obtain exact soliton solutions for the nonlinear Schrödinger equation with self-focusing and self-defocusing terms. The model describes both a quasi-one-dimensional Bose–Einstein condensate with specific atomic interactions and the propagation of solitons in optical fibers. The solutions include trigonometric, hyperbolic, and rational forms, which solitary waves emerge through specific parameter choices. Graphical analyses illustrate the temporal evolution and diverse soliton structures such as kink, bright, singular, periodic, singular periodic, and W-shaped. A sensitivity analysis reveals bifurcation and chaotic behaviors driven by control parameter variations. The results confirm the method's effectiveness in producing analytically significant solutions for the nonlinear Schrödinger equation in mathematical physics and engineering.

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w形和各种新的光学特征的非线性Schrödinger方程具有自聚焦和自散焦项

本文采用（G′/G,1/G）展开方法，得到了具有自聚焦项和自散焦项的非线性Schrödinger方程的精确孤子解。该模型既描述了具有特定原子相互作用的准一维玻色-爱因斯坦凝聚，也描述了孤子在光纤中的传播。解决方案包括三角、双曲和有理形式，通过特定的参数选择出现孤波。图形分析说明了时间演化和不同的孤子结构，如扭结、明亮、奇异、周期、奇异周期和w形。灵敏度分析揭示了控制参数变化驱动的分岔和混沌行为。结果证实了该方法在数学物理和工程中对非线性Schrödinger方程产生解析有效解的有效性。

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.