Journal of Nonlinear Mathematical Physics

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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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
26 - 3
Pages
483 - 508
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2019.1613055How to use a DOI?
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/).

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  -