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Characterizing far from equilibrium states of the one-dimensional nonlinear Schr{ö}dinger equation
by Abhik Kumar Saha, Romain Dubessy
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Romain Dubessy |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2210.09812v3 (pdf) |
| Date accepted: | 2025-02-18 |
| Date submitted: | 2025-01-10 13:06 |
| Submitted by: | Dubessy, Romain |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| 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.
Author comments upon resubmission
Please find herewith enclosed a revised version of our manuscript entitled "Characterizing far from equilibrium states of the one-dimensional nonlinear Schrödinger equation".
We are grateful to the Referee for the careful reading of our manuscript. We believe that the Referee's remarks helped us to improve the clarity of the paper. We have taken into account all his/her comments and answered the questions he/she raised in the reply.pdf file, including a part highlighting the changes we made to the text.
We hope that our revised manuscript can now be considered for publication in SciPost Physics Core.
Yours Sincerely,
Abhik Kumar Saha and Romain Dubessy
List of changes
We have clarified the relation between the analytical threshold of section 2 and the two empirical thresholds of section 3.
We have made minor modifications to the figures and captions to take into account the Referee's remarks.
Published as SciPost Phys. Core 8, 028 (2025)
Reports on this Submission
Report #1 by Joachim Brand (Referee 1) on 2025-2-13 (Invited Report)
Report
The authors have addressed all of the questions that I had to my satisfaction and have revised the manuscript improving the clarity of the presentation.
I understand that the technique described in this paper will be useful for quantifying the number of solitons in wave systems where both amplitude and phase can be measured, as for example in water waves.
I support the publication of the current version of the manuscript as it easily meets the acceptance criteria of SciPost Physics Core.
Recommendation
Publish (easily meets expectations and criteria for this Journal; among top 50%)