The thermodynamic limit of the Whitham equations

G. A. El*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

44 Citations (Scopus)
9 Downloads (Pure)


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 languageEnglish
Pages (from-to)374-383
Number of pages10
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number4-5
Early online date8 Apr 2003
Publication statusPublished - 19 May 2003
Externally publishedYes


Dive into the research topics of 'The thermodynamic limit of the Whitham equations'. Together they form a unique fingerprint.

Cite this