Formation of Rogue Waves and Modulational Instability with Zero-Wavenumber Gain in Multicomponent Systems with Coherent Coupling

Lei Liu, Wen Rong Sun*, Boris A. Malomed

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

It is known that rogue waves (RWs) are generated by the modulational instability (MI) of the baseband type. Starting with the Bers-Kaup-Reiman system for three-wave resonant interactions, we identify a specific RW-building mechanism based on MI which includes zero wavenumber in the gain band. An essential finding is that this mechanism works solely under a linear relation between the MI gain and a vanishingly small wavenumber of the modulational perturbation. The same mechanism leads to the creation of RWs by MI in other multicomponent systems - in particular, in the massive Thirring model.

Original languageEnglish
Article number093801
JournalPhysical Review Letters
Volume131
Issue number9
DOIs
StatePublished - 1 Sep 2023

Funding

FundersFunder number
National Natural Science Foundation of China12205029
Israel Science Foundation1695/22
Fundamental Research Funds for the Central Universities230201606500048

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