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

Mason A. Porter; Predrag Cvitanovic'

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

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arxiv nlin/0308024 v4 pith:G25SVZE3 submitted 2003-08-20 nlin.CD cond-matnlin.PS

Mason A. Porter , Predrag Cvitanovic' This is my paper

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keywords bose-einsteincondensatesamplitudemodulatedperturbationtheorywavesanalysis

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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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