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Critical density of a soliton gas

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journal contribution
posted on 09.02.2016, 10:48 authored by Gennady El
We quantify the notion of a dense soliton gas by establishing an upper bound for the integrated density of states of the quantum-mechanical Schrödinger operator associated with the KdV soliton gas dynamics. As a by-product of our derivation we find the speed of sound in the soliton gas with Gaussian spectral distribution function.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Chaos

Volume

26

Citation

EL, G.A., 2016. Critical density of a soliton gas. Chaos, 26,023105.

Publisher

© American Institute of Physics (AIP)

Version

VoR (Version of Record)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2016

Notes

Copyright 2016 AIP Publishing. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. The following article appeared in EL, G.A., 2016. Critical density of a soliton gas. Chaos, 26,023105. and may be found at http://dx.doi.org/10.1063/1.4941372.

ISSN

1089-7682

Language

en