Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours
文献类型：期刊论文
| 作者 | Wen, Xiao-Yong1; Yan, Zhenya2,3; Zhang, Guoqiang4 |
| 刊名 | PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
 |
| 出版日期 | 2020-10-28 |
| 卷号 | 476期号:2242页码:22 |
| ISSN号 | 1364-5021 |
| 关键词 | nonlinear self-dual network equations modulation instability generalized perturbation Darboux transformation rational solitons stability |
| 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 |
| 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.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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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