Three-dimensional rogue waves in nonstationary parabolic potentials
文献类型：期刊论文
| 作者 | Z. Yan ; V. V. Konotop ; N. Akhmediev |
| 刊名 | Physical Review E
 |
| 出版日期 | 2010 |
| 卷号 | 82期号:3 |
| 关键词 | bose-einstein condensation gases |
| ISSN号 | 1539-3755 |
| 中文摘要 | Using symmetry analysis we systematically present a higher-dimensional similarity transformation reducing the (3+1)-dimensional inhomogeneous nonlinear Schrodinger (NLS) equation with variable coefficients and parabolic potential to the (1+1)-dimensional NLS equation with constant coefficients. This transformation allows us to relate certain class of localized exact solutions of the (3+1)-dimensional case to the variety of solutions of integrable NLS equation of the (1+1)-dimensional case. As an example, we illustrated our technique using two lowest-order rational solutions of the NLS equation as seeding functions to obtain rogue wavelike solutions localized in three dimensions that have complicated evolution in time including interactions between two time-dependent rogue wave solutions. The obtained three-dimensional rogue wavelike solutions may raise the possibility of relative experiments and potential applications in nonlinear optics and Bose-Einstein condensates. |
| 原文出处 | |
| 公开日期 | 2012-04-13 |
| 源URL | [http://210.72.142.130/handle/321006/31626]  |
| 专题 | 金属研究所_中国科学院金属研究所 |
| 推荐引用方式 GB/T 7714 | Z. Yan,V. V. Konotop,N. Akhmediev. Three-dimensional rogue waves in nonstationary parabolic potentials[J]. Physical Review E,2010,82(3). |
| APA | Z. Yan,V. V. Konotop,&N. Akhmediev.(2010).Three-dimensional rogue waves in nonstationary parabolic potentials.Physical Review E,82(3). |
| MLA | Z. Yan,et al."Three-dimensional rogue waves in nonstationary parabolic potentials".Physical Review E 82.3(2010). |
入库方式： OAI收割
来源：金属研究所
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