title: Critical density of a soliton gas.
abstract: 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.
authors.affiliation: Department of Mathematical Sciences, Loughborough University, Loughborough LE11 3TU, United Kingdom.
authors.forename: G A
authors.initials: GA
authors.lastname: El