A Perturbative Analysis of Modulated Amplitude Waves in Bose-Einstein Condensates
arXiv:nlin/0308024 · doi:10.1063/1.1779991
Abstract
We apply Lindstedt's method and multiple scale perturbation theory to analyze spatio-temporal structures in nonlinear Schrödinger equations and thereby study the dynamics of quasi-one-dimensional Bose-Einstein condensates with mean-field interactions. We determine the dependence of the intensity of modulated amplitude waves on their wave number. We also explore the band structure of Bose-Einstein condensates in detail using Hamiltonian perturbation theory and supporting numerical simulations.
24 pages, 20 figs (numbered to 9), 6 tables, to appear in Chaos