New integrable multi-Levy-index and mixed fractional nonlinear soliton hierarchies

doi:10.1016/j.chaos.2022.112758

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	New integrable multi-Levy-index and mixed fractional nonlinear soliton hierarchies
	Zhenya Yan 1,2
	2022-11-01
发表期刊	CHAOS SOLITONS & FRACTALS
ISSN	0960-0779
卷号	164 页码:6
摘要	In this letter, we present a simple and new idea to generate two types of novel integrable multi-Levyindex and mix-Levy-index (mixed) fractional nonlinear soliton hierarchies, containing multi-index and mixed fractional higher-order nonlinear Schrodinger (NLS) hierarchy, fractional complex modified Korteweg-de Vries (cmKdV) hierarchy, and fractional mKdV hierarchy. Their explicit forms can be given using the completeness of squared eigenfunctions. Moreover, we present their anomalous dispersion relations via their linearizations, and fractional multi-soliton solutions via the inverse scattering transform with matrix Riemann-Hilbert problems. These obtained fractional multi-soliton solutions may be useful to understand the related super-dispersion transports of nonlinear waves in multi-index fractional nonlinear media.
关键词	Multi-Levy-index and mix-index fractional soliton hierarchy Integrable fractional system Anomalous dispersion relation Inverse scattering Riemann-Hilbert problem Solitons
DOI	10.1016/j.chaos.2022.112758
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11925108]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Interdisciplinary Applications ; Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000880564000009
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60693
专题	中国科学院数学与系统科学研究院
通讯作者	Zhenya Yan
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mech, 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	Zhenya Yan. New integrable multi-Levy-index and mixed fractional nonlinear soliton hierarchies[J]. CHAOS SOLITONS & FRACTALS,2022,164:6.
APA	Zhenya Yan.(2022).New integrable multi-Levy-index and mixed fractional nonlinear soliton hierarchies.CHAOS SOLITONS & FRACTALS,164,6.
MLA	Zhenya Yan."New integrable multi-Levy-index and mixed fractional nonlinear soliton hierarchies".CHAOS SOLITONS & FRACTALS 164(2022):6.