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Title: Critical density of a soliton gas

Journal Article · · Chaos (Woodbury, N. Y.)
DOI:https://doi.org/10.1063/1.4941372· OSTI ID:22482325
 [1]
  1. Department of Mathematical Sciences, Loughborough University, Loughborough LE11 3TU (United Kingdom)

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.

OSTI ID:
22482325
Journal Information:
Chaos (Woodbury, N. Y.), Vol. 26, Issue 2; Other Information: (c) 2016 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 1054-1500
Country of Publication:
United States
Language:
English

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