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math.AP2021★ 1 cited
On stability and instability of standing waves for 2d-nonlinear Schrödinger equations with point interaction
Noriyoshi Fukaya, Vladimir Georgiev, Masahiro Ikeda
We study existence and stability properties of ground-state standing waves for two-dimensional nonlinear Schrödinger equation with a point interaction and a focusing power nonlinea…
math.AP2021
Instability of degenerate solitons for nonlinear Schrödinger equations with derivative
Noriyoshi Fukaya, Masayuki Hayashi
We consider the following nonlinear Schrödinger equation with derivative: \begin{equation} iu_t =-u_{xx} -i |u|^{2}u_x -b|u|^4u , \quad (t,x) \in \mathbb{R}\times\mathbb{R}, \ b \i…