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Averaging for the $2 d$ $2 d$ dispersion-managed NLS

Luccas Campos

IMECC, State University of Campinas (UNICAMP), Campinas, SP, Brazil

E-mail Address: luccas@ime.unicamp.br

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Jason Murphy

Missouri University of Science and Technology, Rolla, MO, USA

E-mail Address: jason.murphy@mst.edu

Corresponding author.

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, and

Tim Van Hoose

Missouri University of Science and Technology, Rolla, MO, USA

E-mail Address: trvkdb@mst.edu

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https://doi.org/10.1142/S021919972350030XCited by:2 (Source: Crossref)

Abstract

We establish global-in-time averaging for the $L^{2}$ $L^{2}$ -critical dispersion-managed nonlinear Schrödinger 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 $L^{2}$ $L^{2}$ .

Keywords:

AMSC: 35Q55

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