In:
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, Vol. 57, No. 2 ( 2023-03), p. 423-443
Abstract:
We consider the nonlinear Schrödinger equation with a focusing cubic term and a defocusing quintic nonlinearity in dimensions two and three. The main interest of this article is the problem of orbital (in-)stability of ground state solitary waves. We recall the notions of energy minimizing versus action minimizing ground states and prove that, in general, the two must be considered as nonequivalent. We numerically investigate the orbital stability of least action ground states in the radially symmetric case, confirming existing conjectures or leading to new ones.
Type of Medium:
Online Resource
ISSN:
2822-7840
,
2804-7214
DOI:
10.1051/m2an/2022085
Language:
English
Publisher:
EDP Sciences
Publication Date:
2023
detail.hit.zdb_id:
1485131-3
