This article is cited in 1 paper

The Infinite-Genus Limit of the Whitham Equations

G. A. El<sup>ab

a</sup> Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation
^b Coventry University

Abstract: We derive the infinite-genus limit of the KdV–Whitham equations based on the special scaling of the spectral curve introduced by Venakides in the study of the continuum limit of theta functions. The limit describes evolution of the integrated density of states in a one-dimensional soliton gas.

Keywords: finite-gap potentials, rotation number, thermodynamic limit.

DOI: 10.4213/tmf262

 English version: Theoretical and Mathematical Physics, 2003, 137:2, 1505–1514

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