The higher-order nonlinear Schrodinger equation with non-zero boundary conditions: Robust inverse scattering transform, breathers, and rogons

doi:10.1016/j.physleta.2019.125906

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	The higher-order nonlinear Schrodinger equation with non-zero boundary conditions: Robust inverse scattering transform, breathers, and rogons
	Chen, Shuyan 1,2; Yan, Zhenya1,2
	2019-10-15
发表期刊	PHYSICS LETTERS A
ISSN	0375-9601
卷号	383 期号:29 页码:11
摘要	An integrable three-parameter fifth-order nonlinear Schrodinger equation with non-zero boundary conditions was studied staring from its Lax pair and a robust inverse scattering transform such that one-, and n-fold modified Darboux transforms (DTs) are presented. For distinct parameters, the one-fold DT is used to simultaneously investigate its first- and second-order breathers, rational W-shaped soliton-like solutions, and rogons. Moreover, we also analyze their wave structures, and relations between these solutions and special parameters. The n-fold DT is also established for the fifth-order NLS equation such that its (2n -1, 2n)th-order rogue wave solutions can be found simultaneously. Particularly, we exhibit the third- and fourth-order rogon structures. All these results can also reduce to ones for the special cases of the fifth-order NIS equation such as the NLS equation, Hirota equation, and Lakshmanan-Porsezian-Daniel equation. (C) 2019 Elsevier B.V. All rights reserved.
关键词	Higher-order nonlinear Schrodinger equation Non-zero boundary conditions Riemann-Hilbert problem Darboux transform Breathers, rogons Solitons
DOI	10.1016/j.physleta.2019.125906
语种	英语
资助项目	NSFC[11731014] ; CAS Interdisciplinary Innovation Team
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000488416800006
出版者	ELSEVIER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35951
专题	系统科学研究所
通讯作者	Yan, Zhenya
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, 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	Chen, Shuyan,Yan, Zhenya. The higher-order nonlinear Schrodinger equation with non-zero boundary conditions: Robust inverse scattering transform, breathers, and rogons[J]. PHYSICS LETTERS A,2019,383(29):11.
APA	Chen, Shuyan,&Yan, Zhenya.(2019).The higher-order nonlinear Schrodinger equation with non-zero boundary conditions: Robust inverse scattering transform, breathers, and rogons.PHYSICS LETTERS A,383(29),11.
MLA	Chen, Shuyan,et al."The higher-order nonlinear Schrodinger equation with non-zero boundary conditions: Robust inverse scattering transform, breathers, and rogons".PHYSICS LETTERS A 383.29(2019):11.