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.