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Article Dans Une Revue Physical Review E Année : 2021

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

Résumé

We numerically realize 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 quasi-particles of the respective gases. The interaction properties of the constructed breather gases are investigated by propagating through them a 'trial' generic breather (Tajiri-Watanabe) and comparing the mean propagation velocity with the predictions of the recently developed spectral kinetic theory (El and Tovbis, PRE 2020).
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hal-04404705 , version 1 (19-01-2024)

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Giacomo Roberti, Gennady El, Alexander Tovbis, François Copie, Pierre Suret, et al.. Numerical spectral synthesis of breather gas for the focusing nonlinear Schrödinger equation. Physical Review E , 2021, 103 (4), pp.042205. ⟨10.1103/PhysRevE.103.042205⟩. ⟨hal-04404705⟩
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