Analytical single and double vector solitons for the nonlinearity with the partial nonlocality

Abstract

A (2+1)-dimensional coupled nonlinear Schrödinger equation for the nonlinearity with the partial nonlocality is studied, and a paired connection between this equation and the (1+1)-dimensional coupled nonlinear Schrödinger equation is deduced. By means of this paired connection, many vector solitons are reported, such as vector bright–bright single solitons, vector bright–bright double solitons, vector bright–dark single solitons, and vector bright–dark double solitons.