In this work, a matrix Riemann-Hilbert problem of a mixed Chen-Lee-Liu derivative nonlinear Schrödinger (CLL-NLS in brief) equation on the half-line is established by the unified transformation approach. the solution satisfying an initial–boundary value data of the CLL-NLS equation is reconstructed by solving the matrix Riemann-Hilbert problem. Especially, the spectral functions are not independent, but enjoy by a compatibility condition, which is the so-called global relation.

中文翻译：

---

Chen-Lee-Liu混合型非线性Schrödinger方程的Riemann-Hilbert问题

在这项工作中，通过统一变换方法，建立了半线上混合的Chen-Lee-Liu导数非线性Schrödinger方程（简而言之为CLL-NLS）的矩阵Riemann-Hilbert问题。通过求解矩阵Riemann-Hilbert问题，重建了满足CLL-NLS方程的初边界值数据的解决方案。尤其是，频谱函数不是独立的，而是由一个所谓的全局关系的相容性条件决定的。