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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 137, Number 2, Pages 176–187
DOI: https://doi.org/10.4213/tmf262 (Mi tmf262) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The Infinite-Genus Limit of the Whitham Equations

G. A. Elab

a Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation
b Coventry University
Full-text PDF (233 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf262
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.
English version:
Theoretical and Mathematical Physics, 2003, Volume 137, Issue 2, Pages 1505–1514
DOI: https://doi.org/10.1023/A:1027353600801
Bibliographic databases:
Language: Russian
Citation: G. A. El, “The Infinite-Genus Limit of the Whitham Equations”, TMF, 137:2 (2003), 176–187; Theoret. and Math. Phys., 137:2 (2003), 1505–1514
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v137/i2/p176
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:354
    Full-text PDF :180
    References:55
    First page:2
     
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