Abstract In this paper, we investigate a fourth-order dispersive nonlinear Schrodinger equation on the half-line, which has the physical applications in Heisenberg ferromagnetic spin. Solutions for this equation are expressed in form of the unique solution for Riemann-Hilbert problem on the complex k-plane. The related jump matrices are explicitly defined by the initial and boundary values, which are located in the Schwartz space. The global relation about the spectral functions is established.

中文翻译：

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半线上四阶色散非线性薛定谔方程的黎曼-希尔伯特问题

摘要 在本文中，我们研究了半线上的四阶色散非线性薛定谔方程，该方程在海森堡铁磁自旋中具有物理应用。该方程的解以复 k 平面上黎曼-希尔伯特问题的唯一解的形式表示。相关的跳跃矩阵由位于 Schwartz 空间中的初始值和边界值明确定义。建立了关于谱函数的全局关系。