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- Title
ASYMPTOTIC BEHAVIOR OF NONLINEAR SCHRÖDINGER SYSTEMS WITH LINEAR COUPLING.
- Authors
ANTONELLI, PAOLO; WEISHÄUPL, RADA MARIA
- Abstract
A system of two coupled nonlinear Schrödinger equations is investigated. In addition, a linear coupling which models an external driven field described by the Rabi frequency is considered. Asymptotics for large Rabi frequency are carried out and the convergence in the appropriate Strichartz space is proven. As a consequence, the global existence for the limiting system yields us a criterion for the long time behavior of the original system.
- Subjects
ASYMPTOTIC expansions; NONLINEAR Schrodinger equation; LINEAR systems; STOCHASTIC convergence; MATHEMATICAL proofs; EXISTENCE theorems
- Publication
Journal of Hyperbolic Differential Equations, 2014, Vol 11, Issue 1, p159
- ISSN
0219-8916
- Publication type
Article
- DOI
10.1142/S0219891614500040