Bright and Dark Optical Soliton Solutions for a Nonlinear Schrödinger Equation With Kerr Law Nonlinearity and Weak Nonlocality

IF 1.6 4区工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC

International Journal of Numerical Modelling-Electronic Networks Devices and Fields Pub Date : 2025-06-11 DOI:10.1002/jnm.70063

Abdul-Majid Wazwaz

引用次数: 0

Abstract

In this paper, we investigate a nonlinear Schrödinger equation that includes a combination of Kerr law nonlinearity and weak nonlocality. The model includes linear and nonlinear dispersion and has several applications in nonlinear optics and optical fibers. We retrieve bright, dark, and singular soliton solutions for this system. We implement a variety of powerful schemes to derive this variety of optical soliton solutions. Moreover, we derive more solutions of distinct structures that include periodic and exponential solutions.

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具有克尔定律非线性和弱非局域性的非线性Schrödinger方程的明暗光孤子解

本文研究了一个包含克尔定律非线性和弱非局域性的非线性Schrödinger方程。该模型包括线性色散和非线性色散，在非线性光学和光纤中有广泛的应用。我们检索了该系统的亮孤子解、暗孤子解和奇异孤子解。我们实现了各种强大的方案来推导各种光孤子解。此外，我们还得到了更多不同结构的解，其中包括周期解和指数解。

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

International Journal of Numerical Modelling-Electronic Networks Devices and Fields 工程技术-工程：电子与电气

CiteScore

4.60

自引率

6.20%

发文量

101

审稿时长

>12 weeks

期刊介绍： Prediction through modelling forms the basis of engineering design. The computational power at the fingertips of the professional engineer is increasing enormously and techniques for computer simulation are changing rapidly. Engineers need models which relate to their design area and which are adaptable to new design concepts. They also need efficient and friendly ways of presenting, viewing and transmitting the data associated with their models. The International Journal of Numerical Modelling: Electronic Networks, Devices and Fields provides a communication vehicle for numerical modelling methods and data preparation methods associated with electrical and electronic circuits and fields. It concentrates on numerical modelling rather than abstract numerical mathematics. Contributions on numerical modelling will cover the entire subject of electrical and electronic engineering. They will range from electrical distribution networks to integrated circuits on VLSI design, and from static electric and magnetic fields through microwaves to optical design. They will also include the use of electrical networks as a modelling medium.