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Construction of modulated amplitude waves via averaging in collisionally inhomogeneous Bose-Einstein condensates

By Qihuai Liu and Dingbian Qian


We apply the averaging method to analyze spatio-temportal structures in nonlinear Schr\"odinger equations and thereby study the dynamics of quasi-one-dimensional collisionally inhomogeneous Bose-Einstein condensates with the scattering length varying periodically in spatial and crossing zero. Infinitely many (positive measure set) modulated amplitude waves (periodic and quasi-periodic), which are instable, can be proved to exist by adjusting the intergration constant c on some open interval. Finally, some numerical simulations support our results.Comment: 13 pages, 2 figure

Topics: Nonlinear Sciences - Pattern Formation and Solitons, 05.45.-a, 03.75.Lm, 05.30.Jp, 05.45.Ac
Year: 2011
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