Dynamics of higher-order rational solitons for the nonlocal nonlinear Schrodinger equation with the self-induced parity-time-symmetric potential

doi:10.1063/1.4954767

CSpace > 系统科学研究所

	Dynamics of higher-order rational solitons for the nonlocal nonlinear Schrodinger equation with the self-induced parity-time-symmetric potential
	Wen, Xiao-Yong 1,2; Yan, Zhenya1 ; Yang, Yunqing 3
	2016-06-01
发表期刊	CHAOS
ISSN	1054-1500
卷号	26 期号:6 页码:11
摘要	The integrable nonlocal nonlinear Schrodinger equation with the self-induced parity-time-symmetric potential [M. J. Ablowitz and Z. H. Musslimani, Phys. Rev. Lett. 110, 064105 (2013)] is investigated, which is an integrable extension of the standard nonlinear Schrodinger equation. Its novel higherorder rational solitons are found using the nonlocal version of the generalized perturbation (1, N - 1)-fold Darboux transformation. These rational solitons illustrate abundant wave structures for the distinct choices of parameters (e.g., the strong and weak interactions of bright and dark rational solitons). Moreover, we also explore the dynamical behaviors of these higher-order rational solitons with some small noises on the basis of numerical simulations. Published by AIP Publishing.
DOI	10.1063/1.4954767
语种	英语
资助项目	NSFC[11375030] ; NSFC[11571346] ; Beijing Natural Science Foundation[1153004] ; China Postdoctoral Science Foundation[2015M570161]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000379163100023
出版者	AMER INST PHYSICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23056
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 100190, Peoples R China 2.Beijing Informat Sci & Technol Univ, Dept Math, Sch Appl Sci, Beijing 100192, Peoples R China 3.Zhejiang Ocean Univ, Sch Math Phys & Informat Sci, Zhoushan 316022, Zhejiang, Peoples R China
推荐引用方式 GB/T 7714	Wen, Xiao-Yong,Yan, Zhenya,Yang, Yunqing. Dynamics of higher-order rational solitons for the nonlocal nonlinear Schrodinger equation with the self-induced parity-time-symmetric potential[J]. CHAOS,2016,26(6):11.
APA	Wen, Xiao-Yong,Yan, Zhenya,&Yang, Yunqing.(2016).Dynamics of higher-order rational solitons for the nonlocal nonlinear Schrodinger equation with the self-induced parity-time-symmetric potential.CHAOS,26(6),11.
MLA	Wen, Xiao-Yong,et al."Dynamics of higher-order rational solitons for the nonlocal nonlinear Schrodinger equation with the self-induced parity-time-symmetric potential".CHAOS 26.6(2016):11.