Continuum limit related to dispersion managed nonlinear Schrodinger equations

초록

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.

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