The thermodynamic limit of the Whitham equations

G. A. El

doi:10.1016/S0375-9601(03)00515-2

The thermodynamic limit of the Whitham equations

G. A. El^*

^*Corresponding author for this work

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

67 Citations (Scopus)

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Abstract

The infinite-genus limit of the KdV-Whitham equations is derived. The limit involves special scaling for the associated spectral surface such that the integrated density of states remains finite as N → ∞ (the thermodynamic type limit). The limiting integro-differential system describes slow evolution of the density of states and can be regarded as the kinetic equation for soliton gas.

Original language	English
Pages (from-to)	374-383
Number of pages	10
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	311
Issue number	4-5
Early online date	8 Apr 2003
DOIs	https://doi.org/10.1016/S0375-9601(03)00515-2
Publication status	Published - 19 May 2003
Externally published	Yes

Keywords

Finite-gap potentials
Modulation equations
Rotation number
Thermodynamic limit

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10.1016/S0375-9601(03)00515-2

The thermodynamic limit of the Whitham equationsAccepted author manuscript, 117 KBLicence: CC BY-NC-ND

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KW - Modulation equations

KW - Rotation number

KW - Thermodynamic limit

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The thermodynamic limit of the Whitham equations

Abstract

Keywords

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