A Perturbative Analysis of Modulated Amplitude Waves in Bose-Einstein Condensates

Details A Perturbative Analysis of Modulated Amplitude Waves in Bose-Einstein Condensates A Perturbative Analysis of Modulated Amplitude Waves in Bose-Einstein Condensates

2003-08-20

arxiv.org/abs/nlin/0308024v4

Nonlinear Sciences

Chaotic Dynamics

24 pages, 20 figs (numbered to 9), 6 tables, to appear in Chaos

Scientific paper

10.1063/1.1779991

We apply Lindstedt's method and multiple scale perturbation theory to analyze spatio-temporal structures in nonlinear Schr\"odinger 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.

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