Abstract
We study the stability of standing waves for a nonlinear Schrödinger equation, which derives from the generalized Davey-Stewartson system in the elliptic-elliptic case. We prove the existence of stable standing waves under certain conditions.
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Ohta, M. Stability of standing waves for the generalized Davey-Stewartson system. J Dyn Diff Equat 6, 325–334 (1994). https://doi.org/10.1007/BF02218533
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DOI: https://doi.org/10.1007/BF02218533
Key words
- Nonlinear Schrödinger equations
- anisotropic standing waves
- stability
- concentration compactness principle
- Davey-Stewartson system