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A Perturbative Analysis of Modulated Amplitude Waves in Bose-Einstein Condensates | | Mason A. Porter
; Predrag Cvitanovic’
; | | Date: |
20 Aug 2003 | | Subject: | Chaotic Dynamics; Pattern Formation and Solitons | nlin.CD cond-mat nlin.PS | | 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. | | Source: | arXiv, nlin.CD/0308024 | | Services: | Forum | Review | PDF | Favorites | |
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