Well-Posedness and averaging of NLS with time-periodic dispersion\n management

2012/04/19 by Paolo Antonelli, Antonelli, Paolo, Jean‐Claude Saut +3
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Nonlinear Photonic Systems #Pattern Formation and Solitons (nlin.PS)

paper · pdf · doi:10.48550/arxiv.1204.4468

openalex publication_date 2012/04/19 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

We consider the Cauchy problem for dispersion managed nonlinear Schroedinger\nequations, where the dispersion map is assumed to be periodic and piecewise\nconstant in time. We establish local and global well-posedness results and the\npossibility of finite time blow-up. In addition, we shall study the scaling\nlimit of fast dispersion management and establish convergence to an effective\nmodel with averaged dispersion.\n

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