SciPost Submission Page
Characterizing far from equilibrium states of the one-dimensional nonlinear Schr{ö}dinger equation
by Abhik Kumar Saha, Romain Dubessy
Submission summary
| Authors (as registered SciPost users): | Romain Dubessy |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2210.09812v2 (pdf) |
| Date submitted: | 2024-05-25 08:52 |
| Submitted by: | Dubessy, Romain |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
|
| Approaches: | Theoretical, Computational |
Abstract
We use the mathematical toolbox of the inverse scattering transform to study quantitatively the number of solitons in far from equilibrium one-dimensional systems described by the defocusing nonlinear Schr{\"o}dinger equation. We present a simple method to identify the discrete eigenvalues in the Lax spectrum and provide a extensive benchmark of its efficiency. Our method can be applied in principle to all physical systems described by the defocusing nonlinear Schr{\"o}dinger equation and allows to identify the solitons velocity distribution in numerical simulations and possibly experiments.
Current status:
In refereeing