Title
Averaging for some periodic and random nonlinear Schrödinger models
Abstract
In the present communication, we derive averaging equations for nonlinear Schrodinger settings with periodic as well as ergodic random potentials. Our case examples are motivated by recent experimentally accessible applications in soft-condensed matter, as well as in optical physics. Particular features of the resulting equations are compared directly with corresponding predictions of the original model and good agreement is found between the two. Higher order corrections to the leading order averaging results are also discussed.
Year
DOI
Venue
2007
10.1016/j.matcom.2006.10.021
Mathematics and Computers in Simulation
Keywords
Field
DocType
optical physic,optical physics,nonlinear schrodinger setting,original model,schrödinger settings,accessible application,case example,good agreement,soft-condensed matter,corresponding prediction,random nonlinear,ergodic random potential,leading order,higher order correction,dinger model,higher order
Statistical physics,Nonlinear system,Method of averaging,Ergodic theory,Schrödinger's cat,Periodic graph (geometry),Mathematics,Optical physics
Journal
Volume
Issue
ISSN
74
4-5
Mathematics and Computers in Simulation
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
J. Feng100.34
P. G. Kevrekidis22716.77