Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839879 | Nonlinear Analysis: Theory, Methods & Applications | 2014 | 25 Pages |
Abstract
We consider the one dimensional nonlinear Schrödinger equation {iut+12uxx=N(u,u¯),x∈R,t>1,u(1,x)=u0(x),x∈R, where the nonlinearity N(u,u¯)=|u|−2γu3=u3−2γu¯−2γ, the exponent γ>0γ>0 is sufficiently small. Our purpose in this paper is to prove a global existence in time of small solutions.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Nakao Hayashi, Pavel I. Naumkin,