Expential Stability Estimates For 1-dimensional Fractional Schrodinger Equation

In this paper,we prove an exponential long time stability result for 1-dimensional nonlinear Schodinger equation(NLS).First,we mainly introduce the background of the current problem and the main results of the paper.Next,we give the definition of the function space,norm and other signs,as well as the proof of the monotonicity of the function.After that,we give the small denominator and homology Equation,finally we introduce Birkhoff Normal Form,and give a proof of the theorem.