Envelope compact and solitary pattern structures for the GNLS (m, n, p, q) equations
文献类型：期刊论文
| 作者 | Yan, Zhenya
|
| 刊名 | PHYSICS LETTERS A
 |
| 出版日期 | 2006-09-11 |
| 卷号 | 357期号:3页码:196-203 |
| 关键词 | GNLS(m, n, p, q) equation nonlinear dispersion linear dispersion envelope compactons envelope solitary patterns conservation laws |
| ISSN号 | 0375-9601 |
| DOI | 10.1016/j.physleta.2006.04.032 |
| 英文摘要 | In this Letter, to further understand the role of nonlinear dispersion in the generalized nonlinear Schrodinger equation, we introduce and study the generalized nonlinear Schrodinger equation with nonlinear dispersion (called GNLS(m, n, p, q) equation): iu(t) + a(u vertical bar u vertical bar(n-1))(xx) +bu vertical bar u vertical bar(m-1) + ic(u vertical bar u vertical bar(p-1))(xxx) +id(u vertical bar u vertical bar(q-1))(x) = 0. Some new envelope compacton solutions and solitary pattern solutions of GNLS(m, n, p, q) equation are obtained via the gauge transformation and some direct ansatze. In particular, it is shown that GNLS (m, n, p, q) equation with linear dispersion gives rise to envelope compactons and solitary patterns, which implies that nonlinear dispersion is not necessary condition for GNLS(m, n, p, q) equation to admit envelope compactons and solitary patterns. Moreover, some unusually local conservation laws are presented for GNLS(+)(n, n, n, n) equation and GNLS(-) (n, n, n, n) equation, respectively. (c) 2006 Elsevier B.V. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000240414700007 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/2632]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Yan, Zhenya |
| 作者单位 | 1.Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China 2.CCAST, World Lab, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yan, Zhenya. Envelope compact and solitary pattern structures for the GNLS (m, n, p, q) equations[J]. PHYSICS LETTERS A,2006,357(3):196-203. |
| APA | Yan, Zhenya.(2006).Envelope compact and solitary pattern structures for the GNLS (m, n, p, q) equations.PHYSICS LETTERS A,357(3),196-203. |
| MLA | Yan, Zhenya."Envelope compact and solitary pattern structures for the GNLS (m, n, p, q) equations".PHYSICS LETTERS A 357.3(2006):196-203. |
入库方式： OAI收割
来源：数学与系统科学研究院
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