We consider the Cauchy problem for the fractional nonlinear Schrödinger equation (Formula Presented) where λ ϵ ℝ, the order of the fractional derivative α ϵ (Formula Presented). We obtain the large time asymptotic behavior of solutions which has a logarithmic phase modifications for a large time comparing with the linear problem.
|Number of pages
|Advances in Differential Equations
|Published - 2020 Jan