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Volume 26, Issue 3, May 2019, Pages 483 - 508
The Riemann–Hilbert problem to coupled nonlinear Schrödinger equation: Long-time dynamics on the half-line
Authors
Boling Guo, Nan Liu*
Institute of Applied Physics and Computational Mathematics, Beijing 100088, People’s Republic of China,gbl@iapcm.ac.cn(Boling Guo);liunan16@gscaep.ac.cn(Nan Liu)
*Corresponding author.
Corresponding Author
Nan Liu
Received 17 October 2018, Accepted 25 March 2019, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2019.1613055How to use a DOI?
- Keywords
- Coupled nonlinear Schrödinger equation; Riemann–Hilbert problem; Initial-boundary value problem; Long-time asymptotics
- Abstract
We derive the long-time asymptotics for the solution of initial-boundary value problem of coupled nonlinear Schrödinger equation whose Lax pair involves 3 × 3 matrix in present paper. Based on a nonlinear steepest descent analysis of an associated 3 × 3 matrix Riemann–Hilbert problem, we can give the precise asymptotic formulas for the solution of the coupled nonlinear Schrödinger equation on the half-line.
- Copyright
- © 2019 The Authors. Published by Atlantis and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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Cite this article
TY - JOUR AU - Boling Guo AU - Nan Liu PY - 2021 DA - 2021/01/06 TI - The Riemann–Hilbert problem to coupled nonlinear Schrödinger equation: Long-time dynamics on the half-line JO - Journal of Nonlinear Mathematical Physics SP - 483 EP - 508 VL - 26 IS - 3 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2019.1613055 DO - 10.1080/14029251.2019.1613055 ID - Guo2021 ER -