中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
Dynamics of fractional N-soliton solutions with anomalous dispersions of integrable fractional higher-order nonlinear Schrodinger equations

文献类型：期刊论文

作者Weng, Weifang1,2; Zhang, Minghe1,2; Zhang, Guoqiang1,2; Yan, Zhenya1,2
刊名CHAOS
出版日期2022-12-01
卷号32期号:12页码:12
ISSN号1054-1500
DOI10.1063/5.0101921
英文摘要In this paper, using the algorithm due to Ablowitz et al. [Phys. Rev. Lett. 128, 184101 (2022); J. Phys. A: Math. Gen. 55, 384010 (2022)], we explore the anomalous dispersive relations, inverse scattering transform, and fractional N-soliton solutions of the integrable fractional higher-order nonlinear Schrodinger (fHONLS) equations, containing the fractional third-order NLS (fTONLS), fractional complex mKdV (fcmKdV), and fractional fourth-order nonlinear Schrodinger (fFONLS) equations, etc. The inverse scattering problem can be solved exactly by means of the matrix Riemann-Hilbert problem with simple poles. As a consequence, an explicit formula is found for the fractional N-soliton solutions of the fHONLS equations in the reflectionless case. In particular, we analyze the fractional one-, two-, and three-soliton solutions with anomalous dispersions of fTONLS and fcmKdV equations. The wave, group, and phase velocities of these envelope fractional one-soliton solutions are related to the power laws of their amplitudes. Moreover, we also deduce the formula for the fractional N-soliton solutions of all fHONLS equations and analyze some velocities of the one-soliton solution. These obtained fractional N-soliton solutions may be useful to explain the related super-dispersion transports of nonlinear waves in fractional nonlinear media. Published under an exclusive license by AIP Publishing.
资助项目National Natural Science Foundation of China ; [11925108]
WOS研究方向Mathematics ; Physics
语种英语
出版者AIP Publishing
WOS记录号WOS:000898113400008
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/60497]  
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, Key Lab Math Mechanizat, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式
GB/T 7714		 Weng, Weifang,Zhang, Minghe,Zhang, Guoqiang,et al. Dynamics of fractional N-soliton solutions with anomalous dispersions of integrable fractional higher-order nonlinear Schrodinger equations[J]. CHAOS,2022,32(12):12.
APA Weng, Weifang,Zhang, Minghe,Zhang, Guoqiang,&Yan, Zhenya.(2022).Dynamics of fractional N-soliton solutions with anomalous dispersions of integrable fractional higher-order nonlinear Schrodinger equations.CHAOS,32(12),12.
MLA Weng, Weifang,et al."Dynamics of fractional N-soliton solutions with anomalous dispersions of integrable fractional higher-order nonlinear Schrodinger equations".CHAOS 32.12(2022):12.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。