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Liu, Qihuai; Qian, Dingbian

Modulated amplitude waves with nonzero phases in Bose-Einstein condensates. (English) Zbl 1272.82025

J. Math. Phys. 52, No. 8, 082702, 11 p. (2011).
Summary: In this paper we give a frame for application of the averaging method to Bose-Einstein condensates (BECs) and obtain an abstract result upon the dynamics of BECs. Using the averaging method, we determine the location where the modulated amplitude waves (periodic or quasi-periodic) exist and obtain that all these modulated amplitude waves (periodic or quasi-periodic) form a foliation by varying the integration constant continuously. Compared with the previous work, modulated amplitude waves studied in this paper have nontrivial phases and this makes the problem become more difficult, since it involves some singularities. {
©2011 American Institute of Physics}

Cited in 9 Documents

MSC:

82C22 Interacting particle systems in time-dependent statistical mechanics
35Q55 NLS equations (nonlinear Schrödinger equations)
35B10 Periodic solutions to PDEs
35B15 Almost and pseudo-almost periodic solutions to PDEs

Keywords:

averaging method
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\textit{Q. Liu} and \textit{D. Qian}, J. Math. Phys. 52, No. 8, 082702, 11 p. (2011; Zbl 1272.82025)
Full Text: DOI arXiv

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