THERMAL SCIENCE

International Scientific Journal

Adnan Ahmad Mahmud

,

Tanfer Tanriverdi

,

Kalsum Abdulrahman Muhamad

,

Haci Mehmet Baskonus

STRUCTURE OF THE ANALYTIC SOLUTIONS FOR THE COMPLEX NON-LINEAR (2+1)-DIMENSIONAL CONFORMABLE TIME-FRACTIONAL SCHRöDINGER EQUATION

ABSTRACT
In this article, the non-linear (2+1)-dimensional conformable time-fractional Schrödinger equation of order α where 0 < α ≤ 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.
KEYWORDS
Schrödinger equation, Conformable fractional derivative, improved bernoulli sub equation function method, analytic solutions, traveling wave
PAPER SUBMITTED: 2022-02-10
PAPER REVISED: 2022-03-24
PAPER ACCEPTED: 2022-04-04
PUBLISHED ONLINE: 2023-04-08
DOI REFERENCE: https://doi.org/10.2298/TSCI23S1211M
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Special issue 1, PAGES [211 - 225]
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Structure of the analytic solutions for the complex non-linear (2+1)-dimensional conformable time-fractional Schrödinger equation

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