Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours

doi:10.1098/rspa.2020.0512

	Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours
	Wen, Xiao-Yong 4; Yan, Zhenya 1,2; Zhang, Guoqiang 3
刊名	PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
	2020-10-28
卷号	476 期号:2242 页码:22
关键词	nonlinear self-dual network equations modulation instability generalized perturbation Darboux transformation rational solitons stability
ISSN号	1364-5021
DOI	10.1098/rspa.2020.0512
英文摘要	The nonlinear self-dual network equations that describe the propagations of electrical signals in nonlinear LC self-dual circuits are explored. We firstly analyse the modulation instability of the constant amplitude waves. Secondly, a novel generalized perturbation (M, N-M)-fold Darboux transform (DT) is proposed for the lattice system by means of the Taylor expansion and a parameter limit procedure. Thirdly, the obtained perturbation (1, N-1)-fold DT is used to find its new higher-order rational solitons (RSs) in terms of determinants. These higher-order RSs differ from those known results in terms of hyperbolic functions. The abundant wave structures of the first-, second-, third- and fourth-order RSs are exhibited in detail. Their dynamical behaviours and stabilities are numerically simulated. These results may be useful for understanding the wave propagations of electrical signals.
资助项目	Qin Xin Talents Cultivation Program of Beijing Information Science and Technology University[QXTCP B201704] ; Beijing Natural Science Foundation[1202006] ; National Natural Science Foundation of China[11731014] ; National Natural Science Foundation of China[11925108]
WOS研究方向	Science & Technology - Other Topics
语种	英语
出版者	ROYAL SOC
WOS记录号	WOS:000589665200001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/52457]
专题	中国科学院数学与系统科学研究院
通讯作者	Yan, Zhenya
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 4.Beijing Informat Sci & Technol Univ, Sch Appl Sci, Dept Math, Beijing 100192, Peoples R China
推荐引用方式 GB/T 7714	Wen, Xiao-Yong,Yan, Zhenya,Zhang, Guoqiang. Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours[J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,2020,476(2242):22.
APA	Wen, Xiao-Yong,Yan, Zhenya,&Zhang, Guoqiang.(2020).Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES,476(2242),22.
MLA	Wen, Xiao-Yong,et al."Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours".PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 476.2242(2020):22.