A coupled (2 + 1)-dimensional mKdV system and its nonlocal reductions

摘要

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 soli ton, soliton-type, kink, kink-type, rational, rogue wave and lump solutions are given explicitly. (C) 2020 Elsevier B.V. All rights reserved.