Critical density of a soliton gas

G. A. El

doi:10.1063/1.4941372

Critical density of a soliton gas

G. A. El^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

30 Citations (Scopus)

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.

Original language	English
Article number	023105
Number of pages	7
Journal	Chaos
Volume	26
Issue number	2
Early online date	8 Feb 2016
DOIs	https://doi.org/10.1063/1.4941372
Publication status	Published - Feb 2016
Externally published	Yes

Access to Document

10.1063/1.4941372

Cite this

@article{ee075b57c6e445eabe43e803da18be77,

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 Schr{\"o}dinger 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.",

author = "El, \{G. A.\}",

year = "2016",

month = feb,

doi = "10.1063/1.4941372",

language = "English",

volume = "26",

journal = "Chaos",

issn = "1054-1500",

publisher = "American Institute of Physics",

number = "2",

}

TY - JOUR

T1 - Critical density of a soliton gas

AU - El, G. A.

PY - 2016/2

Y1 - 2016/2

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84959161718

U2 - 10.1063/1.4941372

DO - 10.1063/1.4941372

M3 - Article

AN - SCOPUS:84959161718

SN - 1054-1500

VL - 26

JO - Chaos

JF - Chaos

IS - 2

M1 - 023105

ER -

Critical density of a soliton gas

Abstract

Access to Document

Other files and links

Fingerprint

Cite this