Solitonic model of the condensate - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Physical Review E Année : 2021

Solitonic model of the condensate

Résumé

We consider a spatially extended box-shaped wave field that consists of a plane wave (the condensate) in the middle and equals zero at the edges, in the framework of the focusing one-dimensional nonlinear Schrodinger equation. Within the inverse scattering transform theory, the scattering data for this wave field is presented by the continuous spectrum of the nonlinear radiation and the soliton eigenvalues together with their norming constants; the number of solitons N is proportional to the box width. We remove the continuous spectrum from the scattering data and find analytically the specific corrections to the soliton norming constants that arise due to the removal procedure. The corrected soliton parameters correspond to symmetric in space N-soliton solution, as we demonstrate analytically in the paper. Generating this solution numerically for N up to 1024, we observe that, at large N, it converges asymptotically to the condensate, representing its solitonic model. Our methods can be generalized for other strongly nonlinear wave fields, as we demonstrate for the hyperbolic secant potential, building its solitonic model as well.
Fichier non déposé

Dates et versions

hal-04536921 , version 1 (08-04-2024)

Identifiants

Citer

Andrey Gelash, Dmitry Agafontsev, Pierre Suret, Stephane Randoux. Solitonic model of the condensate. Physical Review E, 2021, 104 (4), ⟨10.1103/PhysRevE.104.044213⟩. ⟨hal-04536921⟩
0 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More