KMS Of Academy of mathematics and systems sciences, CAS
Long-Time Asymptotics for the Focusing Hirota Equation with Non-Zero Boundary Conditions at Infinity Via the Deift-Zhou Approach | |
Chen, Shuyan1; Yan, Zhenya2,3; Guo, Boling1 | |
2021-06-01 | |
Source Publication | MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY |
ISSN | 1385-0172 |
Volume | 24Issue:2Pages:37 |
Abstract | We are concerned with the long-time asymptotic behavior of the solution for the focusing Hirota equation (also called third-order nonlinear Schrodinger equation) with symmetric, non-zero boundary conditions (NZBCs) at infinity. Firstly, based on the Lax pair with NZBCs, the direct and inverse scattering problems are used to establish the oscillatory Riemann-Hilbert (RH) problem with distinct jump curves. Secondly, the Deift-Zhou nonlinear steepest-descent method is employed to analyze the oscillatory RH problem such that the long-time asymptotic solutions are proposed in two distinct domains of space-time plane (i.e., the plane-wave and modulated elliptic-wave domains), respectively. Finally, the modulation instability of the considered Hirota equation is also investigated. |
Keyword | Focusing Hirota equation Non-zero boundary conditions Inverse scattering Oscillatory Riemann-Hilbert problem Nonlinear steepest-descent method Long-time asymptotics |
DOI | 10.1007/s11040-021-09388-0 |
Indexed By | SCI |
Language | 英语 |
Funding Project | NSFC[11731014] ; NSFC[11925108] |
WOS Research Area | Mathematics ; Physics |
WOS Subject | Mathematics, Applied ; Physics, Mathematical |
WOS ID | WOS:000648384900001 |
Publisher | SPRINGER |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/58500 |
Collection | 系统科学研究所 |
Corresponding Author | Yan, Zhenya |
Affiliation | 1.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, 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,Guo, Boling. Long-Time Asymptotics for the Focusing Hirota Equation with Non-Zero Boundary Conditions at Infinity Via the Deift-Zhou Approach[J]. MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY,2021,24(2):37. |
APA | Chen, Shuyan,Yan, Zhenya,&Guo, Boling.(2021).Long-Time Asymptotics for the Focusing Hirota Equation with Non-Zero Boundary Conditions at Infinity Via the Deift-Zhou Approach.MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY,24(2),37. |
MLA | Chen, Shuyan,et al."Long-Time Asymptotics for the Focusing Hirota Equation with Non-Zero Boundary Conditions at Infinity Via the Deift-Zhou Approach".MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY 24.2(2021):37. |
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