In this paper, we propose a coupled $(2+1)$-dimensional modified Korteweg-de Vries (mKdV) system, which admits two kinds of nonlocal reductions. By constructing the Darboux transformation for the considered equation, a variety of exact solutions, such as soliton, soliton-type, kink, kink-type, rational, rogue wave and lump solutions are given explicitly.

中文翻译：

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一对 $（2+\mathrm{1个}）$mKdV系统及其非局部约简

在本文中，我们提出了一个耦合 $（2+\mathrm{1个}）$维改进的Korteweg-de Vries（mKdV）系统，它接受两种非局部归约。通过构造所考虑方程式的Darboux变换，可以明确给出各种精确解，例如孤子，孤子型，扭结，扭结型，有理，无赖波和集总解。