The initial-boundary value problems for the coupled derivative nonlinear Schr\"odinger equations on the half-line
Exactly Solvable and Integrable Systems
2018-12-19 v1
Abstract
The unified transform method is used to analyze the initial-boundary value problem for the coupled derivative nonlinear Schr\"odinger(CDNLS) equations on the half-line. In this paper, we assume that the solution and of CDNLS equations are exists, and we show that it can be expressed in terms of the unique solution of a matrix Riemann-Hilbert problem formulated in the plane of the complex spectral parameter .
Cite
@article{arxiv.1812.07387,
title = {The initial-boundary value problems for the coupled derivative nonlinear Schr\"odinger equations on the half-line},
author = {Beibei Hu and Tiecheng Xia and Ning Zhang},
journal= {arXiv preprint arXiv:1812.07387},
year = {2018}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1704.03623, arXiv:1712.06449, arXiv:1711.03861