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arXiv · 2205.11009

Averaging for the dispersion-managed NLS

Luccas Campos·Jason Murphy·Tim Van Hoose
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Abstract

We establish global-in-time averaging for the $L^2$-critical dispersion-managed nonlinear Schr\"odinger equation in the fast dispersion management regime. In particular, in the case of nonzero average dispersion, we establish averaging with any subcritical data, while in the case of a strictly positive dispersion map, we obtain averaging for data in $L^2$.

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Luccas Campos, Jason Murphy, Tim Van Hoose. 2022-05-23. Averaging for the dispersion-managed NLS. https://arxiv.org/abs/2205.11009

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