Vadim Zharnitsky and Dmitry Pelinovsky

Averaging of nonlinearity-managed pulses

Chaos 15, 037105 (2005)

Abstract:
We consider the nonlinear Schr\"{o}dinger 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.

Keywords:
BOSE-EINSTEIN CONDENSATES, FESHBACH RESONANCE, DISPERSION MANAGEMENT, AVERAGING THEORY, NORMAL FORM TRANSFORMATIONS, ERRORS and CONVERGENCE OF ASYMPTOTIC SERIES.