KMS Of Academy of mathematics and systems sciences, CAS
| The NLS(n, n) equation: Multi-hump compactons and their stability and interaction scenarios | |
Yan, Zhenya1,2
| |
| 2019-05-01 | |
| Source Publication | CHAOS SOLITONS & FRACTALS
 |
| ISSN | 0960-0779 |
| Volume | 122Pages:25-31 |
| Abstract | The nonlinear Schrodinger (NLS) equation with fully nonlinear dispersion (called NLS(m, n) equation) has been introduced by Yan [Phys. Lett. A 355 (2006) 212] and shown to possess the single-hump compactons for m = n > 1. In this paper, we further investigated the focusing NLS(n, n) equation and find that it possesses the multi-hump compactons for n > 1, whose properties are analyzed in detail. Particularly, we surprisedly find that the maximal intensities of the multi-hump compactons approach to the natural base e as n -> 1(+). Moreover, we numerically study the stabilities and interactions of the single-hump and double-hump compactons such that some stable multi-hump compactons and elastic interactions are found for some small values of the parameter n. These multi-hump compactons will be useful for understanding the soliton-like solutions and applying them in the related fields of nonlinear science. (C) 2019 Elsevier Ltd. All rights reserved. |
| Keyword | Nonlinear dispersion NLS(n, n) equation Multi-hump compactons Soliton-like solutions Stability Interactions |
| DOI | 10.1016/j.chaos.2019.03.008 |
| Language | 英语 |
| Funding Project | NSFC[11731014] ; NSFC[61621003] ; CAS Interdisciplinary Innovation Team |
| WOS Research Area | Mathematics ; Physics |
| WOS Subject | Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical |
| WOS ID | WOS:000464349400004 |
| Publisher | PERGAMON-ELSEVIER SCIENCE LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/34538 |
| Collection | 系统科学研究所 |
| Corresponding Author | Yan, Zhenya |
| Affiliation | 1.Chinese Acad Sci, Key Lab Math Mechanizat, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Yan, Zhenya. The NLS(n, n) equation: Multi-hump compactons and their stability and interaction scenarios[J]. CHAOS SOLITONS & FRACTALS,2019,122:25-31. |
| APA | Yan, Zhenya.(2019).The NLS(n, n) equation: Multi-hump compactons and their stability and interaction scenarios.CHAOS SOLITONS & FRACTALS,122,25-31. |
| MLA | Yan, Zhenya."The NLS(n, n) equation: Multi-hump compactons and their stability and interaction scenarios".CHAOS SOLITONS & FRACTALS 122(2019):25-31. |
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