Journal
APPLIED MATHEMATICS LETTERS
Volume 76, Issue -, Pages 81-89Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2017.08.006
Keywords
Kundu-Eckhaus equation; Initial value problem; Deift-Zhou nonlinear steepest descent method; Riemann-Hilbert problem; Long-time asymptotic
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Funding
- 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]
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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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