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The thermodynamic limit of the Whitham equations
journal contribution
posted on 2018-04-23, 13:06 authored by Gennady ElThe 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. © 2003 Elsevier Science B.V. All rights reserved.
History
School
- Science
Department
- Mathematical Sciences
Published in
Physics Letters, Section A: General, Atomic and Solid State PhysicsVolume
311Issue
4-5Pages
374 - 383Citation
EL, G.A., 2003. The thermodynamic limit of the Whitham equations. Physics Letters, Section A: General, Atomic and Solid State Physics, 311(4-5), pp. 374-383.Publisher
© ElsevierVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2003Notes
This paper was accepted for publication in the journal Physics Letters, Section A: General, Atomic and Solid State Physics and the definitive published version is available at https://doi.org/10.1016/S0375-9601(03)00515-2ISSN
0375-9601Publisher version
Language
- en