Semiclassical asymptotics for weakly nonlinear Bloch waves
Carles, Rémi ; Markowich, Peter A. ; Sparber, Christof
HAL, hal-00128337 / Harvested from HAL
Text on HAL
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.
Publié le : 2004-07-05
Classification:  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],  [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph],  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00128337,
     author = {Carles, R\'emi and Markowich, Peter A. and Sparber, Christof},
     title = {Semiclassical asymptotics for weakly nonlinear Bloch waves},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00128337}
}

Carles, Rémi; Markowich, Peter A.; Sparber, Christof. Semiclassical asymptotics for weakly nonlinear Bloch waves. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00128337/