Continuum limit related to dispersion managed nonlinear Schrodinger equations

We consider the dispersion managed nonlinear Schrodinger equation with power law nonlinearity and its discrete version of equations with step size h is an element of (0, 1]. We prove that the solutions of the discrete equations strongly converge in L2(R) to the solution of the dispersion managed NLS as h -> 0 after showing the global well-posedness of the discrete equations.(c) 2023 Elsevier Inc. All rights reserved.