期刊
JOURNAL OF GEOMETRY AND PHYSICS
卷 153, 期 -, 页码 -出版社
ELSEVIER
DOI: 10.1016/j.geomphys.2020.103669
关键词
Matrix spectral problem; Oscillatory Riemann-Hilbert problem; Long-time asymptotics
资金
- NSFC, China [11371326, 11301331, 11371086]
- NSF, USA [DMS-1664561]
- 111 project of China [B16002]
- Natural Science Fund for Colleges and Universities of Jiangsu Province, China [17KJB110020]
- Shanghai University of Electric Power, China, King Abdulaziz University, Saudi Arabia
- North-West University, South Africa
Starting from a specific example of 4 x 4 matrix spectral problems, an integrable coupled hierarchy, which includes a three-component coupled nonlinear Schrodinger system as the first nonlinear one, is generated, and an associated oscillatory Riemann-Hilbert problem is formulated. With the nonlinear steepest descent method, the leading long-time asymptotics for the Cauchy problem of the three-component coupled nonlinear Schrodinger system is computed, through deforming the oscillatory Riemann-Hilbert problem into a model one which is solvable. (C) 2020 Elsevier B.V. All rights reserved.
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