Type: Article

Fractional nonlinear Schrödinger equation

Méndez-Navarro, Jesús A., Naumkin, Pavel I., Sánchez-Suárez, Isahi.;

Abstract:

We consider the Cauchy problem for the fractional nonlinear Schrödinger equation {i?tu+23|?x|32u=?|u|2u,t>0,u(1,x)=u0(x),x?R,x?R. We develop the factorization technique to obtain the large-time asymptotic behavior of solutions which has a logarithmic phase modifications for large time comparing with the linear problem.