Scattering for the dispersion managed nonlinear Schrödinger equation

2024/01/30 by Mi-Ran Choi, Choi, Mi-Ran, Kiyeon Lee +3
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2401.16717

Abstract

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 and scattering in L_x² for small initial data employing the U^p and V^p spaces.

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