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- Title
AVERAGING PRINCIPLE FOR THE SCHRÖDINGER EQUATIONS.
- Authors
PENG GAO; YONG LI
- Abstract
Averaging principle for the cubic nonlinear Schrödinger equations with rapidly oscillating potential and rapidly oscillating force are obtained, both on finite but large time intervals and on the entire time axis. This includes comparison estimate, stability estimate, and convergence result between nonlinear Schrödinger equation and its averaged equation. Furthermore, the existence of almost periodic solution for cubic nonlinear Schrödinger equations is also investigated.
- Subjects
NONLINEAR Schrodinger equation; OSCILLATIONS; STOCHASTIC convergence; MANIFOLDS (Mathematics); AVERAGING method (Differential equations)
- Publication
Discrete & Continuous Dynamical Systems - Series B, 2017, Vol 22, Issue 6, p2147
- ISSN
1531-3492
- Publication type
Article
- DOI
10.3934/dcdsb.2017089