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arXiv · 1812.07387

The initial-boundary value problems for the coupled derivative nonlinear Schr\"odinger equations on the half-line

Beibei Hu·Tiecheng Xia·Ning Zhang
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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 $u(x,t)$ and $v(x,t)$ 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 $\lambda$.

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Beibei Hu, Tiecheng Xia, Ning Zhang. 2018-12-16. The initial-boundary value problems for the coupled derivative nonlinear Schr\"odinger equations on the half-line. https://arxiv.org/abs/1812.07387

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