Dynamics of fractional N-soliton solutions with anomalous dispersions of integrable fractional higher-order nonlinear Schrodinger equations

doi:10.1063/5.0101921

	Dynamics of fractional N-soliton solutions with anomalous dispersions of integrable fractional higher-order nonlinear Schrodinger equations
	Weng, Weifang 1,2; Zhang, Minghe 1,2; Zhang, Guoqiang 1,2; Yan, Zhenya 1,2
刊名	CHAOS
	2022-12-01
卷号	32 期号:12 页码:12
ISSN号	1054-1500
DOI	10.1063/5.0101921
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
内容类型	期刊论文
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.