Critical density of a soliton gas

G. A. El*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


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 Korteweg-de Vries 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.

Original languageEnglish
Article number023105
Number of pages7
Issue number2
Early online date8 Feb 2016
Publication statusPublished - Feb 2016
Externally publishedYes


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