Averaging of nonlinearity-managed pulses.
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.
Zharnitsky
Vadim
V
Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA. vz@math.uiuc.edu
Pelinovsky
Dmitry
D
D000465:Algorithms; D001683:Biological Clocks / Q000502:physiology*; D003198:Computer Simulation; D008954:Models, Biological; D015233:Models, Statistical; D017711:Nonlinear Dynamics; D012815:Signal Processing, Computer-Assisted