Type: Article

Large time asymptotics of solutions for the third-order nonlinear Schrödinger equation

Hayasaki, Nakao; Naumkin, Pavel I.;

Abstract:

We study the large time asymptotics of small amplitude solutions to the Cauchy problem for the third-order nonlinear Schrödinger equation with zero mass condition which is considered as a complex version of the modi ed Korteweg-de Vries equation. We apply the factorization of the free evolution group to improve the time decay estimate of solutions obtained in the previous work.