- 04-22 Remi Carles, Peter A. Markowich, Christof Sparber
- Semiclassical Asymptotics for Weakly Nonlinear Bloch Waves
Feb 2, 04
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Abstract. We study the simultaneous semi-classical and adiabatic asymptotics for a class of (weakly) nonlinear Schroedinger equations with a fast periodic potential and a slowly varying confinement potential.
A rigorous two-scale WKB-analysis, locally in time, is performed. The main nonlinear phenomenon is a modification of the Berry phase.