Critical density of a soliton gas

Published 8 Dec 2015 in nlin.PS | (1512.02470v2)

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 Schr\"odinger 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.

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Authors (1)

Gennady A. El

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