Type: Article

Asymptotics for the third-order nonlinear Schrödinger equation in the critical case

Nakao, Hayashi; Kaikina, E.;

Abstract:

We consider the Cauchy problem for the third-order nonlinear Schrödinger equation where and is the Fourier transform. Our purpose in this paper is to prove the large time asymptoitic behavior of solutions for the defocusing case ? > 0 with a logarithmic correction under the non zero mass condition