Long-Time Asymptotics for the Focusing Hirota Equation with Non-Zero Boundary Conditions at Infinity Via the Deift-Zhou Approach

doi:10.1007/s11040-021-09388-0

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	Long-Time Asymptotics for the Focusing Hirota Equation with Non-Zero Boundary Conditions at Infinity Via the Deift-Zhou Approach
	Chen, Shuyan 2; Yan, Zhenya 1,3; Guo, Boling 2
刊名	MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY
	2021-06-01
卷号	24 期号:2 页码:37
关键词	Focusing Hirota equation Non-zero boundary conditions Inverse scattering Oscillatory Riemann-Hilbert problem Nonlinear steepest-descent method Long-time asymptotics
ISSN号	1385-0172
DOI	10.1007/s11040-021-09388-0
英文摘要	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.
资助项目	NSFC[11731014] ; NSFC[11925108]
WOS研究方向	Mathematics ; Physics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000648384900001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58499]
专题	系统科学研究所
通讯作者	Yan, Zhenya
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China 2.Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 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.