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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
ISSN0022-247X
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
DOI10.1016/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
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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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