We consider the Cauchy problem for the nonlinear Schrödinger equations of fractional order (Formula presented.) where F(u) is the cubic nonlinearity F(u)=λ|u|2u with λ∈ R. We find the large time asymptotics of solutions to the Cauchy problem. We use the factorization technique similar to that developed for the Schrödinger equation.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Nuclear and High Energy Physics
- Mathematical Physics