Orbital stability of optical solitons in 2D
Abstract
Abstract We present a stability result for groundstates of a Schrödinger–Poisson system in ( 2 + 1 ) dimension, modelling the propagation of a light beam through a liquid crystal with nonlocal nonlinear response. The core of the proof is a coercivity bound on the second derivative of the action, where non scaling nonlinearities and the coupled system present the major difficulties. In addition we prove existence of a ground state with frequency σ for any σ ∈ ( 0 , 1 ) as a minimal point over an appropriate Nehari manifold.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Advanced Mathematical Physics Problems
Nonlinear Photonic Systems
Publication details
- Journal / source
- Nonlinearity
- Volume
- 39
- Issue
- 2
- Pages
- 025007–025007
- Publication date
- 12 February 2026
- Language
- EN