期刊
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
卷 41, 期 -, 页码 334-361出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2017.10.014
关键词
Kundu-Eckhaus equation; Riemann-Hilbert approach; Lax pair; Long-time asymptotics; Soliton solutions
资金
- National Natural Science Foundation of China [11375030, 11472315, 11401031]
- Beijing Finance Funds of Natural Science Program for Excellent Talents [2014000026833ZK19]
- Qin Xin Talents Cultivation Program of Beijing Information Science and Technology University [QXTCP B201704, QXTCP A201702]
The long-time asymptotics and bright N-soliton solutions of the Kundu-Eckhaus equation are studied by Riemann-Hilbert approach. Firstly, the initial value problem of the defocusing Kundu-Eckhaus equation is considered and its long-time asymptotics is derived based on the nonlinear steepest descent method of Deift-Zhou. Then the linear spectral problem of the focusing Kundu-Eckhaus equation is investigated via Riemann-Hilbert formulation and the bright N-soliton solutions of this equation are obtained explicitly. (C) 2017 Elsevier Ltd. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据