Recently the phenomena of Bose-Einstein condensates have been observed in laboratories, and the related problems are extensively studied. In this paper we consider the nonlinear Schrödinger equation in the laser beam rotating magnetic field and compute its corresponding energy functional under the mass conservative condition. By separating time and space variables, factoring real part and image part, and discretizing via finite difference method, the original equation can be transformed to a large scale parametrized polynomial systems. We use continuation method to find the solutions that satisfy the mass conservative condition. We will also explore bifurcation points on the curves and other solutions lying on bifurcation branches. The numerical results show that when the rotating angular momentum is small, we can find the solutions by continuation method along some particular curves and these curves are regular. As the angular momentum is increasing, there will be more bifurcation points on curves.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0807112-154404 |
| Date | 07 August 2012 |
| Creators | Shiu, Han-long |
| Contributors | Chien-Sen Huang, Chen-Chang Peng, Chen-Chang Peng, Chien-Sen Huang, Chen-Chang Peng, Yueh-Cheng Kuo, Tsung-Lin Lee, Tzon-Tzer Lu, Chien-Sen Huang, Chen-Chang Peng, Chien-Sen Huang |
| Publisher | NSYSU |
| Source Sets | NSYSU Electronic Thesis and Dissertation Archive |
| Language | Cholon |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0807112-154404 |
| Rights | unrestricted, Copyright information available at source archive |
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