Geodesic
The Infinite-Genus Limit of the Whitham Equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 137 (2003) no. 2, pp. 176-187

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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. 
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     author = {G. A. El},
     title = {The {Infinite-Genus} {Limit} of the {Whitham} {Equations}},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2003_137_2_a2/}
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G. A. El. The Infinite-Genus Limit of the Whitham Equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 137 (2003) no. 2, pp. 176-187. http://geodesic.mathdoc.fr/item/TMF_2003_137_2_a2/