在饱和非线性介质中传播的三种孤子

IF 4.4 2区数学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Mathematics and Computers in Simulation Pub Date : 2025-05-28 DOI:10.1016/j.matcom.2025.05.010

Lihong Wang , Tingting Chen , Jingsong He

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引用次数: 0

摘要

本文研究光脉冲在非线性可饱和光介质中的传播，重点研究具有可饱和非线性特征的非线性Schrödinger方程（NLSE）。我们利用madelung型变换推导出稳态解，得到了三种类型的孤子解：类峰解、亮孤子解和暗峰解。此外，我们探讨了控制NLSE参数的物理含义，并利用Vakhitov-Kolokolov稳定性判据对孤子进行了详细的稳定性分析。

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Three types of solitons propagating in saturable nonlinear media

In this paper, we investigate the propagation of light pulses in nonlinear saturable optical media, focusing on the nonlinear Schrödinger equation (NLSE) characterized by a saturable nonlinearity. We employ a Madelung-type transformation to derive stationary solutions, resulting in three types of soliton solutions: peakon-like solutions, bright soliton, and dark peakon. Additionally, we explore the physical implications of the parameters governing the NLSE and conduct detailed stability analyses of the solitons utilizing the Vakhitov–Kolokolov stability criterion.

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来源期刊

Mathematics and Computers in Simulation 数学-计算机：跨学科应用

CiteScore

8.90

自引率

4.30%

发文量

335

审稿时长

54 days

期刊介绍： The aim of the journal is to provide an international forum for the dissemination of up-to-date information in the fields of the mathematics and computers, in particular (but not exclusively) as they apply to the dynamics of systems, their simulation and scientific computation in general. Published material ranges from short, concise research papers to more general tutorial articles. Mathematics and Computers in Simulation, published monthly, is the official organ of IMACS, the International Association for Mathematics and Computers in Simulation (Formerly AICA). This Association, founded in 1955 and legally incorporated in 1956 is a member of FIACC (the Five International Associations Coordinating Committee), together with IFIP, IFAV, IFORS and IMEKO. Topics covered by the journal include mathematical tools in: •The foundations of systems modelling •Numerical analysis and the development of algorithms for simulation They also include considerations about computer hardware for simulation and about special software and compilers. The journal also publishes articles concerned with specific applications of modelling and simulation in science and engineering, with relevant applied mathematics, the general philosophy of systems simulation, and their impact on disciplinary and interdisciplinary research. The journal includes a Book Review section -- and a "News on IMACS" section that contains a Calendar of future Conferences/Events and other information about the Association.