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陈淑延:Long-time asymptotics for the focusing NLS equation with non-zero boundary conditions in the pre

本站小编 Free考研考试/2021-12-26


Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
Speaker: 陈淑延，北京应用物理与计算数学研究所
Inviter:
Title:
 Long-time asymptotics for the focusing NLS equation with non-zero boundary conditions in the presence of high-order discrete spectrum
Time & Venue:
 2021.12.10 09:00–09:40 N402
Abstract:
 I am concerned with the long-time asymptotic behavior for solutions of the focusing nonlinear Schr\"odinger (NLS) equation with symmetric, non-zero boundary conditions (NZBCs) in the presence of a double discrete spectrum. Based on the Biondini's work, I establish an associated Riemann-Hilbert problem(RHP) with a double discrete spectrum; this allows to study effectively the long-time asymptotic behavior of the solution by using the Deift-Zhou method. Due to the arise of discrete spectrum, three different interaction outcomes can arise depending on the precise location of the discrete poles.

相关话题/研究所 数学 计算 物理 北京

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