We investigate the solvability of an integrable nonlinear nonlocal reverse-time six-component fourth-order AKNS system generated from a reduced coupled AKNS hierarchy under a reverse-time reduction. Riemann–Hilbert problems will be formulated by using the associated matrix spectral problems, and exact soliton solutions will be derived from the reflectionless case corresponding to an identity jump matrix.

中文翻译：

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四阶非局部逆时六分量AKNS系统的黎曼-希尔伯特问题及其精确孤子解

我们研究了一个可积非线性非局部逆时六分量四阶 AKNS 系统的可解性，该系统是在逆时缩减下由缩减的耦合 AKNS 层次结构生成的。黎曼-希尔伯特问题将通过使用相关的矩阵谱问题来表述，并且将从对应于单位跳跃矩阵的无反射情况推导出精确的孤子解。