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

Abstract

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