The thermodynamic limit of the Whitham equations

被引：73
作者：
El, GA [1 ]
机构：
[1] Coventry Univ, Sch Math & Informat Sci, Coventry, W Midlands, England
来源：
PHYSICS LETTERS A | 2003年 / 311卷 / 4-5期
关键词：
modulation equations; finite-gap potentials; rotation number; thermodynamic limit;
D O I：
10.1016/S0375-9601(03)00515-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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 --> infinity (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. (C) 2003 Elsevier Science B.V. All rights reserved.
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页码：374 / 383
页数：10
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