In this paper, we study the stability and the instability of standing waves for the nonlinear Schrödinger equation with harmonic potential. We prove the existence of stable or unstable standing waves under certain conditions on the power of nonlinearity and the frequency of wave.
- Harmonic potential
- Nonlinear scrödinger equation
- Orbital stability
- Standing wave
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics