非线性薛定谔型分数阶偏微分方程的波结构在物理科学中出现

IF 0.6 4区 工程技术 Q4 Engineering
Mst. Nasrin Nahar, M. Islam, Diganta Broto Kar
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引用次数: 0

摘要

非线性偏微分方程以描述与现实世界有关的非线性现象的潜在行为而闻名。本文讨论了分数阶非线性薛定谔型方程如时空分数阶非线性薛定谔方程和(2+1)维时间分数阶薛定谔方程的解析解。利用波动变量变换将所考虑的方程转化为常微分方程,然后利用最近建立的有理展开法构造精确解。得到的解以三角函数、双曲函数和有理函数的形式出现,并与文献中的解进行了比较,并声称有所不同。最后给出了解的图形表示,以表示其物理外观。所采用的方法简洁、高效,可为今后的研究提供参考。数学学科分类:35C08, 35R11
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Wave Structures for Nonlinear Schrodinger Types Fractional Partial Differential Equations Arise in Physical Sciences
Nonlinear partial differential equations are mostly renowned for depicting the underlying behavior of nonlinear phenomena relating to the nature of the real world. In this paper, we discuss analytic solutions of fractional-order nonlinear Schrodinger types equations such as the space-time fractional nonlinear Schrodinger equation and the (2+1)-dimensional time-fractional Schrodinger equation. The considered equations are converted into ordinary differential equations with the help of wave variable transformation and then the recently established rational ( )-expansion method is employed to construct the exact solutions. The obtained solutions have appeared in the forms of a trigonometric function, hyperbolic function, and rational function which are compared with those of literature and claimed to be different. The graphical representations of the solutions are finally brought out for their physical appearances. The applied method is seemed to be efficient, concise, and productive which might be used for further research. Mathematics Subject Classifications: 35C08, 35R11
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来源期刊
Nuclear Engineering International
Nuclear Engineering International 工程技术-核科学技术
自引率
0.00%
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0
审稿时长
6-12 weeks
期刊介绍: Information not localized
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