Exact solutions to three-dimensional generalized nonlinear Schroumldinger equations with varying potential and nonlinearities
文献类型：期刊论文
| 作者 | Yan, Zhenya1,2,3 ; Konotop, V. V.1,4
|
| 刊名 | PHYSICAL REVIEW E
 |
| 出版日期 | 2009-09-01 |
| 卷号 | 80期号:3页码:9 |
| 关键词 | nonlinear equations Schrodinger equation |
| ISSN号 | 1539-3755 |
| DOI | 10.1103/PhysRevE.80.036607 |
| 英文摘要 | It is shown that using the similarity transformations, a set of three-dimensional p-q nonlinear Schroumldinger (NLS) equations with inhomogeneous coefficients can be reduced to one-dimensional stationary NLS equation with constant or varying coefficients, thus allowing for obtaining exact localized and periodic wave solutions. In the suggested reduction the original coordinates in the (1+3) space are mapped into a set of one-parametric coordinate surfaces, whose parameter plays the role of the coordinate of the one-dimensional equation. We describe the algorithm of finding solutions and concentrate on power (linear and nonlinear) potentials presenting a number of case examples. Generalizations of the method are also discussed. |
| 资助项目 | FCT[SFRH/BPD/41367/2007] ; FCT[NSFC60821002/F02] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000270383500075 |
| 出版者 | AMER PHYSICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7653]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yan, Zhenya |
| 作者单位 | 1.Univ Lisbon, Ctr Fis Teor & Computac, P-1649003 Lisbon, Portugal 2.Chinese Acad Sci, Inst Syst Sci, AMSS, Key Lab Math Mechanizat, Beijing 100080, Peoples R China 3.Chinese Acad Sci, Int Ctr Mat Phys, Shenyang 110016, Peoples R China 4.Univ Lisbon, Dept Fis, P-1749016 Lisbon, Portugal |
| 推荐引用方式 GB/T 7714 | Yan, Zhenya,Konotop, V. V.. Exact solutions to three-dimensional generalized nonlinear Schroumldinger equations with varying potential and nonlinearities[J]. PHYSICAL REVIEW E,2009,80(3):9. |
| APA | Yan, Zhenya,&Konotop, V. V..(2009).Exact solutions to three-dimensional generalized nonlinear Schroumldinger equations with varying potential and nonlinearities.PHYSICAL REVIEW E,80(3),9. |
| MLA | Yan, Zhenya,et al."Exact solutions to three-dimensional generalized nonlinear Schroumldinger equations with varying potential and nonlinearities".PHYSICAL REVIEW E 80.3(2009):9. |
入库方式： OAI收割
来源：数学与系统科学研究院
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