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.
CitationEL, G.A., 2016. Critical density of a soliton gas. Chaos, 26,023105.
Publisher© American Institute of Physics (AIP)
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NotesCopyright 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.