Structure of the analytic solutions for the complex non-linear (2+1)-dimensional conformable time-fractional Schrödinger equation by

IF 1.1 4区工程技术 Q4 THERMODYNAMICS Thermal Science Pub Date : 2023-01-01 DOI:10.2298/tsci23s1211m

A. Mahmud, T. Tanriverdi, K. A. Muhamad, H. Baskonus

引用次数: 0

Abstract

In this article, the non-linear (2+1)-dimensional conformable time-fractional Schr?dinger equation of order ? where 0 < ? ? 1, has been studied within introducing an appropriate fractional traveling wave transformation. The reliable and powerful method, namely the Improved Bernoulli sub equation function method, is applied to investigate some solitary wave, traveling wave and periodic solutions to the aforementioned model which is crucial significance because the model is in the fields of quantum mechanics and energy spectrum. The obtained solutions are new and significant in revealing the pertinent features of the physical phenomenon. Moreover, gotten solutions have been plotted in several kinds, such as in 3-D or 2-D. The impacts of the time evolution are offered in 2-D graphs for visual observation of the properties of the solutions.

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复杂非线性(2+1)维适形时间分数Schrödinger方程解析解的结构

在本文中，非线性(2+1)维可适应时间分数Schr?定谔序方程?0 < ?？ 1、在引入适当的分数阶行波变换中进行了研究。利用改进的伯努利子方程函数法这一可靠而有力的方法，研究了上述模型的孤波解、行波解和周期解，该模型在量子力学和能谱领域具有重要意义。所得到的解是新的，在揭示物理现象的相关特征方面具有重要意义。此外，还将得到的解绘制成三维或二维等多种形式。时间演化的影响以二维图形的形式提供，以便直观地观察解的性质。

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

Thermal Science 工程技术-热力学

CiteScore

2.70

自引率

29.40%

发文量

399

审稿时长

5 months

期刊介绍： The main aims of Thermal Science to publish papers giving results of the fundamental and applied research in different, but closely connected fields: fluid mechanics (mainly turbulent flows), heat transfer, mass transfer, combustion and chemical processes in single, and specifically in multi-phase and multi-component flows in high-temperature chemically reacting flows processes present in thermal engineering, energy generating or consuming equipment, process and chemical engineering equipment and devices, ecological engineering, The important characteristic of the journal is the orientation to the fundamental results of the investigations of different physical and chemical processes, always jointly present in real conditions, and their mutual influence. To publish papers written by experts from different fields: mechanical engineering, chemical engineering, fluid dynamics, thermodynamics and related fields. To inform international scientific community about the recent, and most prominent fundamental results achieved in the South-East European region, and particularly in Serbia, and - vice versa - to inform the scientific community from South-East European Region about recent fundamental and applied scientific achievements in developed countries, serving as a basis for technology development. To achieve international standards of the published papers, by the engagement of experts from different countries in the International Advisory board.