Topological 1-soliton solution of the nonlinear Schrodinger’s equation with Kerr law nonlinearity in 1 + 2 dimensions

In this paper, the topological 1-soliton solution of the nonlinear Schrödinger’s equation in 1 + 2 dimensions is obtained by the solitary wave ansatze method. These topological solitons are studied in the context of dark optical solitons. The type of nonlinearity that is considered is Kerr type.