In this article, modified (G'/G )-expansion method is presented to establish the exact complex solutions of the time fractional Gross-Pitaevskii (GP) equation in the sense of the conformable fractional derivative. This method is an effective method in finding exact traveling wave solutions of nonlinear evolution equations (NLEEs) in mathematical physics. The present approach has the potential to be applied to other nonlinear fractional differential equations. Based on two transformations, fractional GP equation can be converted into nonlinear ordinary differential equation of integer orders. In the end, we will discuss the solutions of the fractional GP equation with external potentials.
Taghizadeh, Nasir and Foumani, Mona N.
Complex solutions of the time fractional Gross-Pitaevskii (GP) equation with external potential by using a reliable method,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 11,
2, Article 30.
Available at: https://digitalcommons.pvamu.edu/aam/vol11/iss2/30