TY - JOUR

T1 - The thermodynamic limit of the Whitham equations

AU - El, G. A.

PY - 2003/5/19

Y1 - 2003/5/19

N2 - 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.

AB - 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.

KW - Finite-gap potentials

KW - Modulation equations

KW - Rotation number

KW - Thermodynamic limit

UR - http://www.scopus.com/inward/record.url?scp=0038294437&partnerID=8YFLogxK

U2 - 10.1016/S0375-9601(03)00515-2

DO - 10.1016/S0375-9601(03)00515-2

M3 - Article

AN - SCOPUS:0038294437

SN - 0375-9601

VL - 311

SP - 374

EP - 383

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 4-5

ER -