Volume 23, Issue 2, March 2016, Pages 167 - 189
Initial-boundary value problem for the two-component nonlinear Schrödinger equation on the half-line
Authors
Jian Xu
College of Science, University of Shanghai for Science and Technology, NO.334 Jungong Road, Shanghai. 200093, People's Republic of China,jianxu@usst.edu.cn
Received 16 October 2015, Accepted 19 January 2016, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2016.1161259How to use a DOI?
- Keywords
- Riemann-Hilbert problem; Initial-boundary value problem; two-component nonlinear Schrödinger equation
- Abstract
We present a 3×3 Riemann-Hilbert problem formalism for the initial-boundary value problem of the two-component nonlinear Schrödinger (2-NLS) equation on the half-line. And we also get the Dirichlet to Neuemann map through analysising the global relation in this paper.
- Copyright
- © 2016 The Authors. Published by Atlantis Press 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 - Jian Xu PY - 2021 DA - 2021/01/06 TI - Initial-boundary value problem for the two-component nonlinear Schrödinger equation on the half-line JO - Journal of Nonlinear Mathematical Physics SP - 167 EP - 189 VL - 23 IS - 2 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2016.1161259 DO - 10.1080/14029251.2016.1161259 ID - Xu2021 ER -