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math.AP2024
Ground states of the two-dimensional dispersion managed nonlinear Schrödinger equation
Mi-Ran Choi, Young-Ran Lee
We consider the variational problem with a mass constraint arising from the two-dimensional dispersion managed nonlinear Schrödinger equation with power-law type nonlinearity. We p…
math.AP2024
Scattering for the dispersion managed nonlinear Schrödinger equation
Mi-Ran Choi, Kiyeon Lee, Young-Ran Lee
We consider the dispersion managed nonlinear Schrdinger equations with quintic and cubic nonlinearities in one and two dimensions, respectively. We prove the global well-posedness…