Type: Article

Large time asymptotics by the fractional order cubic nonlinear Schrödinger equations

Nakao, Hayashi; Naumkin, P. I.;

Abstract:

We consider the Cauchy problem for the nonlinear Schrödinger equations of fractional order(Formula presented.)where (Formula presented.) is the cubic nonlinearity(Formula presented.)with (Formula presented.). 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