时空分数次三次四次非线性Schrödinger方程描述双折射光纤中的光波现象

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Advances in Mathematical Physics Pub Date : 2022-12-16 DOI:10.1155/2022/7265164

M. F. Uddin, M. Hafez

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引用次数: 3

摘要

通过提出双折射光纤具有两个分形导数(β和共形导数)和克尔定律非线性的耦合时空分数三次四次非线性Schrödinger方程，研究了光波解及其图形表示。为了实现这一目标，首次提出了一种新的扩展直接代数方法。列出了许多光学解及其存在准则。根据存在准则，在β和共形导数参数的影响下，双折射光纤中支持三次四次亮光孤子、奇异光孤子、周期脉冲和rouge波剖面。

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Optical Wave Phenomena in Birefringent Fibers Described by Space-Time Fractional Cubic-Quartic Nonlinear Schrödinger Equation with the Sense of Beta and Conformable Derivative

The work explores the optical wave solutions along with their graphical representations by proposing the coupled spatial-temporal fractional cubic-quartic nonlinear Schrödinger equation with the sense of two fractal derivatives (beta and conformable derivative) and Kerr law nonlinearity for birefringent fibers. The new extended direct algebraic method for the first time is implemented to achieve this goal. Many optical solutions are listed along with their existence criteria. Based on the existence criteria, the cubic-quartic bright, and singular optical soliton, periodic pulse, and rouge wave profiles are supported in birefringent fibers with the influence of both beta and conformable derivative parameter.

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来源期刊

Advances in Mathematical Physics 数学-应用数学

CiteScore

2.40

自引率

8.30%

发文量

151

审稿时长

>12 weeks

期刊介绍： Advances in Mathematical Physics publishes papers that seek to understand mathematical basis of physical phenomena, and solve problems in physics via mathematical approaches. The journal welcomes submissions from mathematical physicists, theoretical physicists, and mathematicians alike. As well as original research, Advances in Mathematical Physics also publishes focused review articles that examine the state of the art, identify emerging trends, and suggest future directions for developing fields.