KMS Of Academy of mathematics and systems sciences, CAS
| Rogon-like solutions excited in the two-dimensional nonlocal nonlinear Schrodinger equation | |
Yan, Zhenya
| |
| 2011-08-15 | |
| 发表期刊 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
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| ISSN | 0022-247X |
| 卷号 | 380期号:2页码:689-696 |
| 摘要 | We report the analytical one- and two-rogon-like solutions for the two-dimensional nonlocal nonlinear Schrodinger equation by means of the similarity transformation. These obtained solutions can be used to describe the possible physical mechanisms for rogue-like wave phenomenon. Moreover, the free function of space y involved in the obtained solutions excites the abundant structures of rogue-like wave propagations. The Hermite-Gaussian function of space y (normalized function) is, in particular, chosen to depict the dynamical behaviors for rogue-like wave phenomenon. (C) 2011 Elsevier Inc. All rights reserved. |
| 关键词 | Nonlocal NLS equation Similarity transformation Rational-like solutions Rogue waves Rogons |
| DOI | 10.1016/j.jmaa.2011.01.071 |
| 语种 | 英语 |
| 资助项目 | [NSFC60821002F02] ; [11071242] |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied ; Mathematics |
| WOS记录号 | WOS:000290067000024 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/12539 |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yan, Zhenya |
| 作者单位 | Chinese Acad Sci, Key Lab Math Mechanizat, Inst Syst Sci, AMSS, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yan, Zhenya. Rogon-like solutions excited in the two-dimensional nonlocal nonlinear Schrodinger equation[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2011,380(2):689-696. |
| APA | Yan, Zhenya.(2011).Rogon-like solutions excited in the two-dimensional nonlocal nonlinear Schrodinger equation.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,380(2),689-696. |
| MLA | Yan, Zhenya."Rogon-like solutions excited in the two-dimensional nonlocal nonlinear Schrodinger equation".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 380.2(2011):689-696. |
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