The NLS(n, n) equation: Multi-hump compactons and their stability and interaction scenarios

doi:10.1016/j.chaos.2019.03.008

CSpace > 系统科学研究所

	The NLS(n, n) equation: Multi-hump compactons and their stability and interaction scenarios
	Yan, Zhenya1,2
	2019-05-01
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	122 页码:25-31
摘要	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.
关键词	Nonlinear dispersion NLS(n, n) equation Multi-hump compactons Soliton-like solutions Stability Interactions
DOI	10.1016/j.chaos.2019.03.008
语种	英语
资助项目	NSFC[11731014] ; NSFC[61621003] ; CAS Interdisciplinary Innovation Team
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000464349400004
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/34538
专题	系统科学研究所
通讯作者	Yan, Zhenya
作者单位	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
推荐引用方式 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.