General soliton solutions to a reverse‐time nonlocal nonlinear Schrödinger (NLS) equation are discussed via a matrix version of binary Darboux transformation. With this technique, searching for solutions of the Lax pair is transferred to find vector solutions of the associated linear differential equation system. From vanishing and nonvanishing seed solutions, general vector solutions of such linear differential equation system in terms of the canonical forms of the spectral matrix can be constructed by means of triangular Toeplitz matrices. Several explicit one‐soliton solutions and two‐soliton solutions are provided corresponding to different forms of the spectral matrix. Furthermore, dynamics and interactions of bright solitons, degenerate solitons, breathers, rogue waves, and dark solitons are also explored graphically.

中文翻译：

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逆时非局部非线性Schrödinger方程的一般孤子解

通过二元Darboux变换的矩阵形式讨论了逆时非局部非线性Schrödinger（NLS）方程的一般孤子解。通过这种技术，可以搜索Lax对的解，以找到关联的线性微分方程组的向量解。从消失的和不消失的种子解中，可以通过三角Toeplitz矩阵构造这种线性微分方程系统根据谱矩阵的正则形式的一般矢量解。对应于频谱矩阵的不同形式，提供了几种显式的单孤子解和双孤子解。此外，还以图形方式探索了亮孤子，简并孤子，呼吸器，流氓波和暗孤子的动力学和相互作用。