与超短脉冲相关的分数阶非线性Schrödinger方程的新色散孤子解

IF 1.9 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Pramana Pub Date : 2023-07-12 DOI:10.1007/s12043-023-02573-6

Nursena Günhan Ay, Emrullah Yaşar

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引用次数: 0

摘要

本文讨论了光纤中重要的三阶分数阶非线性Schrödinger方程(3-FNLS)。该方程模拟了当超短脉冲产生时光在光纤中的传播。为了解释物理现象，考虑了β、适形和m截断分数阶导数算子。采用扩展修正辅助方程映射法(EMAEM)寻求精确解。为不同分数阶值对应的若干解的每个分数阶导数算子设计了三维和二维图形。这些图形用于研究符合、β和m截断分数阶导数算子的解的行为，并进行重要的比较。

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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Novel dispersive soliton solutions to a fractional nonlinear Schrödinger equation related with ultrashort pulses

In this study, the third-order fractional nonlinear Schrödinger equation (3-FNLS), which is crucial in fibre optics, is discussed. The equation models propagation of light in optical fibres when ultrashort pulses are generated. In order to explain the physical phenomena, beta, conformable and M-truncated fractional derivative operators are considered. Exact solutions were sought using the extended modified auxiliary equation mapping method (EMAEM). Three-dimensional (3D) and two-dimensional (2D) graphics were designed for each fractional derivative operator of several solutions corresponding to various fractional order values. These graphics were used to study the behaviour of the solutions for conformable, beta and M-truncated fractional derivative operators and to make significant comparisons.

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来源期刊

Pramana 物理-物理：综合

CiteScore

3.60

自引率

7.10%

发文量

206

审稿时长

3 months

期刊介绍： Pramana - Journal of Physics is a monthly research journal in English published by the Indian Academy of Sciences in collaboration with Indian National Science Academy and Indian Physics Association. The journal publishes refereed papers covering current research in Physics, both original contributions - research papers, brief reports or rapid communications - and invited reviews. Pramana also publishes special issues devoted to advances in specific areas of Physics and proceedings of select high quality conferences.