2 papers
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…
math.AP2024
Global existence versus finite time blowup dichotomy for the dispersion managed NLS
Mi-Ran Choi, Younghun Hong, Young-Ran Lee
We consider the Gabitov-Turitsyn equation or the dispersion managed nonlinear Schrödinger equation of a power-type nonlinearity \[ i\partial_t u+ d_\text{av} \partial_x^2u+\int_0^…