Some general bright soliton solutions and interactions for a (2+1)-dimensional nonlocal nonlinear Schrodinger equation

In this paper, a novel application of Darboux transformation is presented for (2+1)-dimensional nonlocal nonlinear Schrodinger equation. The Darboux trans-formation is a power method to solve some (1+1)-dimensional classical nonlinear Schrodinger (NLS) equations, however, there is less work of (2+1)-dimensional ((2+1)-D) nonlocal nonlinear Schrodinger(NNLS) equation with Darboux transfor-mation. With the development of science, the NNLS equation gradually appears, where the nonlocality is the reverse spatial field or reverse time field. We focus on how to solve the (2+1)-D NNLS equation with reverse time field q(x, y, -t). Using the Darboux transformation, some novel (2+1)-D nonlocal soliton solutions are derived on a background of kink waves, including 1-soliton solution, 2-soliton solution, bright soliton and soliton interaction on kink wave backgrounds. This method is a novel application of Darboux transformation, which can be extend to some other nonlocal nonlinear or higher-dimensional soliton equations on kink wave backgrounds.(c) 2023 Elsevier Ltd. All rights reserved.