title: Averaging of nonlinearity-managed pulses.
abstract: We consider the nonlinear Schrodinger equation with the nonlinearity management which describes Bose-Einstein condensates under Feshbach resonance. By using an averaging theory, we derive the Hamiltonian averaged equation and compare it with other averaging methods developed for this problem. The averaged equation is used for analytical approximations of nonlinearity-managed solitons.
authors.affiliation: Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA. vz@math.uiuc.edu
authors.forename: Vadim
authors.initials: V
authors.lastname: Zharnitsky
authors.forename: Dmitry
authors.initials: D
authors.lastname: Pelinovsky
mesh_terms: D000465:Algorithms; D001683:Biological Clocks / Q000502:physiology*; D003198:Computer Simulation; D008954:Models, Biological; D015233:Models, Statistical; D017711:Nonlinear Dynamics; D012815:Signal Processing, Computer-Assisted