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.
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.