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

doi:10.1098/rspa.2020.0512

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	Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours
	Wen, Xiao-Yong 1; Yan, Zhenya 2,3; Zhang, Guoqiang 4
	2020-10-28
发表期刊	PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
ISSN	1364-5021
卷号	476 期号:2242 页码:22
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.
关键词	nonlinear self-dual network equations modulation instability generalized perturbation Darboux transformation rational solitons stability
DOI	10.1098/rspa.2020.0512
收录类别	SCI
语种	英语
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
WOS类目	Multidisciplinary Sciences
WOS记录号	WOS:000589665200001
出版者	ROYAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52458
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.Beijing Informat Sci & Technol Univ, Sch Appl Sci, Dept Math, Beijing 100192, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Tsinghua Univ, Dept Math Sci, Beijing 100084, 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.