Dark soliton solutions for a [formula omitted]-dimensional nonlocal Davey–Stewartson system

Abstract

A (2+1)-dimensional nonlocal Davey–Stewartson system has been considered in this paper. Dark-soliton solutions in Gram determinant for such nonlocal Davey–Stewartson system have been demonstrated with the aid of the Kadomtsev–Petviashvili hierarchy reduction. According to the dark-soliton solutions, interactions between the dark–dark, antidark–antidark and dark–antidark solitons have been graphically presented. The interactions between two solitons (two dark, one dark and one anti-dark, two anti-dark) are all parallel. Furthermore, various types of the interactions among dark four solitons are also demonstrated: interactions between double dark two solitons, between double antidark two solitons, between dark two solitons and antidark two solitons, and between there mixed types. The interactions are all elastic.