New integrable multi-Levy-index and mixed fractional nonlinear soliton hierarchies
文献类型：期刊论文
| 作者 | Zhenya Yan1,2 |
| 刊名 | CHAOS SOLITONS & FRACTALS
 |
| 出版日期 | 2022-11-01 |
| 卷号 | 164页码:6 |
| ISSN号 | 0960-0779 |
| 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 |
| 英文摘要 | 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. |
| 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 | PERGAMON-ELSEVIER SCIENCE LTD |
| WOS记录号 | WOS:000880564000009 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60692]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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