- Cumhuriyet Üniversitesi Fen-Edebiyat Fakültesi Fen Bilimleri Dergisi
- Volume:35 Issue:1
- Asymptotic stability of ground states of quadratic nonlinear Schrödinger equation with potential in ...
Asymptotic stability of ground states of quadratic nonlinear Schrödinger equation with potential in 4D
Authors : Özgür MIZRAK
Pages : 31-42
View : 32 | Download : 9
Publication Date : 2014-03-19
Article Type : Other Papers
Abstract :Abstract. In this paper a class of quadratic nonlinear Schrödinger equation in four space dimensions with an attractive potential is considered. We investigate asymptotic stability of the nonlinear bound states, i.e. periodic in time localized in space solutions. We show that all solutions with small initial data, converge to a nonlinear bound state. Therefore, the non-linear bound states are asymptotically stable.Keywords :
ORIGINAL ARTICLE URL