Exact solutions to three-dimensional generalized nonlinear Schroumldinger equations with varying potential and nonlinearities
文献类型：期刊论文
| 作者 | Z. Y. Yan ; V. V. Konotop |
| 刊名 | Physical Review E
 |
| 出版日期 | 2009 |
| 卷号 | 80期号:3 |
| 关键词 | nonlinear equations Schrodinger equation gross-pitaevskii equation schrodinger-equation dependent coefficients solitons lattice waves |
| ISSN号 | 1539-3755 |
| 中文摘要 | 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. |
| 原文出处 | |
| 公开日期 | 2012-04-13 |
| 源URL | [http://ir.imr.ac.cn/handle/321006/32477]  |
| 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. Y. Yan,V. V. Konotop. Exact solutions to three-dimensional generalized nonlinear Schroumldinger equations with varying potential and nonlinearities[J]. Physical Review E,2009,80(3). |
| APA | Z. Y. Yan,&V. V. Konotop.(2009).Exact solutions to three-dimensional generalized nonlinear Schroumldinger equations with varying potential and nonlinearities.Physical Review E,80(3). |
| MLA | Z. Y. Yan,et al."Exact solutions to three-dimensional generalized nonlinear Schroumldinger equations with varying potential and nonlinearities".Physical Review E 80.3(2009). |
入库方式： OAI收割
来源：金属研究所
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