Abstract: The aim of this study, is using exponential potential in the non-linear Schrodinger equation well-known as Ginsburg-Pitaevski-Gross equation to study quantum turbulence. The non-linear Schrodinger equation which arises in quantum turbulence is also important in various fields of physics such as optics, elementary particle physics and mathematical physics. We assume exponential potentials such as Morse and generalized Woods-Saxon potentials in this equation and use Runge-Kutta-Fehlberg approximation method to obtain wave functions. We found that, the wave function has periodic behavior for all exponential form of potentials.