TY - JOUR
TI - Structure of the analytic solutions for the complex non-linear (2+1)-dimensional conformable time-fractional Schrödinger equation
AU - Mahmud Adnan Ahmad
AU - Tanriverdi Tanfer
AU - Muhamad Kalsum Abdulrahman
AU - Baskonus Haci Mehmet
JN - Thermal Science
PY - 2023
VL - 27
IS - 101
SP - 211
EP - 225
PT - Article
AB - 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.