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

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

2011-04-06

arxiv.org/abs/1104.0993v1

Nonlinear Sciences

Pattern Formation and Solitons

13 pages, 2 figures

Scientific paper

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.

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