Ginsburg-Pitaevski-Gross differential equation with the Rosen-Morse and modified Woods-Saxon potentials

Document Type : Research Articles


Department of Physics, Imam Hossein University, Tehran, Iran


In this paper, we consider non-linear Ginsburg-Pitaevski-Gross equation with the
Rosen-Morse and modifiedWoods-Saxon potentials which is corresponding to the quantum
vortices and has important applications in turbulence theory. We use the Runge-
Kutta-Fehlberg approximation method to solve the resulting non-linear equation.