Exact localized solutions of (1 + 1)-dimensional nonlinear Schrödinger equation with complex 𝒫𝒯 symmetric potentials and power-law nonlinearity

Abstract

Using the concept of deformed supersymmetry, we obtain exact localized solutions of nonlinear Schrödinger equation (NLSE) with a number of [Formula: see text] symmetric potentials and [Formula: see text]th power-law nonlinearity. Linear stability of these solutions for focusing as well as de-focusing nonlinearity has been examined for various values of the nonlinearity parameter [Formula: see text].