Numerical spectral synthesis of breather gas for the focusing nonlinear Schrödinger equation

Giacomo Roberti, Gennady El, Alexander Tovbis, François Copie, Pierre Suret, Stéphane Randoux*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We numerically realize a breather gas for the focusing nonlinear Schrödinger equation. This is done by building a random ensemble of N∼50 breathers via the Darboux transform recursive scheme in high-precision arithmetics. Three types of breather gases are synthesized according to the three prototypical spectral configurations corresponding the Akhmediev, Kuznetsov-Ma, and Peregrine breathers as elementary quasiparticles of the respective gases. The interaction properties of the constructed breather gases are investigated by propagating through them a "trial"generic (Tajiri-Watanabe) breather and comparing the mean propagation velocity with the predictions of the recently developed spectral kinetic theory [El and Tovbis, Phys. Rev. E 101, 052207 (2020)2470-004510.1103/PhysRevE.101.052207].

Original languageEnglish
Article number042205
Pages (from-to)1-13
Number of pages13
JournalPhysical Review E
Volume103
Issue number4
Early online date9 Apr 2021
DOIs
Publication statusPublished - Apr 2021

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