Photo by jontyson from unsplash
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.… Click to show full 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.
Journal Title: Thermal Science
Year Published: 2023
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!