Reviving modulational instability with third-order dispersion

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TitreReviving modulational instability with third-order dispersion
Type de publicationJournal Article
Year of Publication2022
AuteursTamilselvan K., Govindarajan A., Kanna T., Lakshmanan M., Tchofo-Dinda P.
JournalPHYSICS LETTERS A
Volume422
Pagination127801
Date PublishedJAN 17
Type of ArticleArticle
ISSN0375-9601
Mots-clésAkhmediev type breather, Linear stability analysis, Modulational instability, Peregrine rogue wave, System with spatio-temporal dispersion and, third-order GVD
Résumé

It is well-known that third-order dispersion (TOD) plays no role in the onset of modulation instability in the nonlinear Schrodinger (NLS) family of systems. Here we demonstrate that the characteristics of modulational instability can be dramatically altered by the TOD in two different nonlinear systems, namely Wannier exciton mass in a ZnCdSe/ZnSe semiconductor superlattice and nonlinear pulse/beam propagation in a Kerr-like waveguide under non-slowly varying envelope approxi-mation (non-SVEA), with spatial dispersion. Further we reveal the results of numerical simulations suggesting the existence of recently much studied Akhmediev-type breathers and Peregrine-like rogue waves due to the nonlinear development of MI stemming from the TOD. (c) 2021 Elsevier B.V. All rights reserved.

DOI10.1016/j.physleta.2021.127801