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arXiv · 2401.16717

Scattering for the dispersion managed nonlinear Schr\"odinger equation

Mi-Ran Choi·Kiyeon Lee·Young-Ran Lee
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Abstract

We consider the dispersion managed nonlinear Schr\"dinger equations with quintic and cubic nonlinearities in one and two dimensions, respectively. We prove the global well-posedness and scattering in $L_x^2$ for small initial data employing the $U^p$ and $V^p$ spaces.

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Mi-Ran Choi, Kiyeon Lee, Young-Ran Lee. 2024-01-30. Scattering for the dispersion managed nonlinear Schr\"odinger equation. https://arxiv.org/abs/2401.16717

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