Modulational instability and dynamics of implicit higher-order rogue wave solutions for the Kundu equation

doi:10.1142/S0217984918500057

CSpace

	Modulational instability and dynamics of implicit higher-order rogue wave solutions for the Kundu equation
	Wen, Xiao-Yong 1,2; Zhang, Guoqiang 2,3
	2018-01-10
发表期刊	MODERN PHYSICS LETTERS B
ISSN	0217-9849
卷号	32 期号:1 页码:21
摘要	Under investigation in this paper is the Kundu equation, which may be used to describe the propagation process of ultrashort optical pulses in nonlinear optics. The modulational instability of the plane-wave for the possible reason of the formation of the rogue wave (RW) is studied for the system. Based on our proposed generalized perturbation (m, N - n)-fold Darboux transformation (DT), some new higher-order implicit RW solutions in terms of determinants are obtained by means of the generalized perturbation (1, N - 1)-fold DT, when choosing different special parameters, these results will reduce to the RW solutions of the Kaup-Newell (KN) equation, Chen-Lee-Liu (CLL) equation and Gerjikov-Ivanov (GI) equation, respectively. The relevant wave structures are shown graphically, which display abundant interesting wave structures. The dynamical behaviors and propagation stability of the first-order and second-order RW solutions are discussed by using numerical simulations, the higher-order nonlinear terms for the Kundu equation have an impact on the propagation instability of the RW. The method can also be extended to find the higher-order RW or rational solutions of other integrable nonlinear equations.
关键词	Generalized perturbation (n, N - n)-fold Darboux transformation the Kundu equation higher-order implicit RW solutions numerical simulations
DOI	10.1142/S0217984918500057
语种	英语
资助项目	China Postdoctoral Science Foundation[2015M570161] ; Beijing Natural Science Foundation[1153004] ; NSFC[11375030] ; NSFC[11401031] ; Beijing Information Science and Technology University[QXTCP B201704] ; Qin Xin Talents Cultivation Program
WOS研究方向	Physics
WOS类目	Physics, Applied ; Physics, Condensed Matter ; Physics, Mathematical
WOS记录号	WOS:000419927700013
出版者	WORLD SCIENTIFIC PUBL CO PTE 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/29304
专题	中国科学院数学与系统科学研究院
通讯作者	Wen, Xiao-Yong
作者单位	1.Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China 2.Chinese Acad Sci, Key Lab Math Mech, Inst Syst Sci, AMSS, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Wen, Xiao-Yong,Zhang, Guoqiang. Modulational instability and dynamics of implicit higher-order rogue wave solutions for the Kundu equation[J]. MODERN PHYSICS LETTERS B,2018,32(1):21.
APA	Wen, Xiao-Yong,&Zhang, Guoqiang.(2018).Modulational instability and dynamics of implicit higher-order rogue wave solutions for the Kundu equation.MODERN PHYSICS LETTERS B,32(1),21.
MLA	Wen, Xiao-Yong,et al."Modulational instability and dynamics of implicit higher-order rogue wave solutions for the Kundu equation".MODERN PHYSICS LETTERS B 32.1(2018):21.