2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57632We 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.References added; more explanations; inaccuracy concerning the initial data fixedMathematical PhysicsAnalysis of PDEs81Q20; 34E13; 34E20; 35Q55text