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arXiv · 2311.02905

Global existence versus finite time blowup dichotomy for the dispersion managed NLS

Mi-Ran Choi·Younghun Hong·Young-Ran Lee
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Abstract

We consider the Gabitov-Turitsyn equation or the dispersion managed nonlinear Schr\"odinger equation of a power-type nonlinearity \[ i\partial_t u+ d_\text{av} \partial_x^2u+\int_0^1 e^{-ir\partial_x^2}\big(|e^{ir\partial_x^2}u|^{p-1}e^{ir\partial_x^2}u\big)dr=0 \] and prove the global existence versus finite time blowup dichotomy for the mass-supercritical cases, that is, $p>9$.

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Mi-Ran Choi, Younghun Hong, Young-Ran Lee. 2023-11-06. Global existence versus finite time blowup dichotomy for the dispersion managed NLS. https://arxiv.org/abs/2311.02905

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