Averaging For The 2 D Dispersion-managed NLS

Author

Luccas Campos
Jason Murphy, Missouri University of Science and TechnologyFollow
Tim Van Hoose

Abstract

We establish global-in-time averaging for the L2-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 L2.

Recommended Citation

L. Campos et al., "Averaging For The 2 D Dispersion-managed NLS," Communications in Contemporary Mathematics, article no. 2350030, World Scientific Publishing, Jan 2023.

The definitive version is available at https://doi.org/10.1142/S021919972350030X

Department(s)

Mathematics and Statistics

Keywords and Phrases

averaging; Dispersion-managed NLS; scattering

International Standard Serial Number (ISSN)

0219-1997

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 World Scientific Publishing, All rights reserved.

Publication Date

01 Jan 2023