The thermodynamic limit of the Whitham equations

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 evolutio...

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Bibliographic Details
Main Author: Gennady El
Format: Default Article
Published: 2003
Subjects:
Online Access:https://hdl.handle.net/2134/32686
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