We derive the long-time asymptotics for the solution of initial-boundary value problem of coupled nonlinear Schrödinger equation whose Lax pair involves 3 × 3 matrix in present paper. Based on a nonlinear steepest descent analysis of an associated 3 × 3 matrix Riemann–Hilbert problem, we can give the precise asymptotic formulas for the solution of the coupled nonlinear Schrödinger equation on the half-line.

中文翻译：

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耦合非线性薛定谔方程的黎曼-希尔伯特问题：半线上的长期动力学

在本文中，我们推导了求解 Lax 对包含 3 × 3 矩阵的耦合非线性薛定谔方程初边值问题的长时间渐近性。基于对关联的 3 × 3 矩阵 Riemann-Hilbert 问题的非线性最速下降分析，我们可以给出求解半线上耦合非线性薛定谔方程的精确渐近公式。