期刊
APPLIED MATHEMATICS LETTERS
卷 76, 期 -, 页码 81-89出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2017.08.006
关键词
Kundu-Eckhaus equation; Initial value problem; Deift-Zhou nonlinear steepest descent method; Riemann-Hilbert problem; Long-time asymptotic
资金
- National Science Foundation of China [11671095, 11501365]
- Science and Technology Commission of Shanghai Municipality [15YF1408100]
- Shanghai youth teacher assistance program [ZZslg15056]
- Hujiang Foundation of China [B14005]
We present a Riemann-Hilbert problem formalism for the initial value problem of the Kundu-Eckhaus equation on the line. The long-time asymptotic for the solutions of the Kundu-Eckhaus equation is further analyzed via the Deift-Zhou nonlinear steepest descent method. (C) 2017 Elsevier Ltd. All rights reserved.
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