The thermodynamic limit of the Whitham equations
Exactly Solvable and Integrable Systems
2009-11-10 v1 Chaotic Dynamics
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 (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 a soliton gas.
Keywords
Cite
@article{arxiv.nlin/0310014,
title = {The thermodynamic limit of the Whitham equations},
author = {G. A. El},
journal= {arXiv preprint arXiv:nlin/0310014},
year = {2009}
}