Showing math.APShow all
2 papers · 1 filter
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…
math.AP2022
Continuum limit related to dispersion managed nonlinear Schrödinger equations
Mi-Ran Choi, Young-Ran Lee
We consider the dispersion managed nonlinear Schrödinger equation with power-law nonlinearity and its discrete version of equations with step size . We prove that the so…