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math.AP2020★ 11 cited
On dispersion managed nonlinear Schrödinger equations with lumped amplification
Mi-Ran Choi, Younghoon Kang, Young-Ran Lee
We show the global well-posedness of the nonlinear Schrödinger equation with periodically varying coefficients and a small parameter , which is used in optical-fiber…
math.AP2020★ 1 cited
Well-posedness of dispersion managed nonlinear Schrödinger equations
Mi-Ran Choi, Dirk Hundertmark, Young-Ran Lee
We prove local and global well-posedness results for the Gabitov-Turitsyn or dispersion managed nonlinear Schrödinger equation with a large class of nonlinearities and arbitrary av…