KMS Of Academy of mathematics and systems sciences, CAS
| Long-time asymptotics of solutions for the coupled dispersive AB system with initial value problems | |
| Chen, Shuyan1; Yan, Zhenya2,3 | |
| 2021-06-15 | |
| Source Publication | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| ISSN | 0022-247X |
| Volume | 498Issue:2Pages:31 |
| Abstract | In this paper, we study the basic Riemann-Hilbert (RH) problem of the coupled dispersive AB system with the Schwartz class of initial value problems starting from the Lax pair. We use the Deift-Zhou nonlinear steepest-descent method to analyze the obtained RH problem such that the long-time asymptotics of the solutions of this coupled AB system is found as t -> infinity. (C) 2021 Elsevier Inc. All rights reserved. |
| Keyword | Coupled dispersive AB system Initial-value condition Riemann-Hilbert problem Nonlinear steepest descent method Long-time asymptotics |
| DOI | 10.1016/j.jmaa.2021.124966 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | NSFC[11925108] ; NSFC[11731014] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000620924700010 |
| Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/58258 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Yan, Zhenya |
| Affiliation | 1.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Chen, Shuyan,Yan, Zhenya. Long-time asymptotics of solutions for the coupled dispersive AB system with initial value problems[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2021,498(2):31. |
| APA | Chen, Shuyan,&Yan, Zhenya.(2021).Long-time asymptotics of solutions for the coupled dispersive AB system with initial value problems.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,498(2),31. |
| MLA | Chen, Shuyan,et al."Long-time asymptotics of solutions for the coupled dispersive AB system with initial value problems".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 498.2(2021):31. |
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