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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 122, Number 1, Pages 58–71
DOI: https://doi.org/10.4213/tmf555 (Mi tmf555) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Existence of a global solution of the Whitham equations

T. Grava

International School for Advanced Studies (SISSA)
Full-text PDF (293 kB) Citations (9)
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DOI: https://doi.org/10.4213/tmf555
Abstract: The Cauchy problem for Whitham equations with monotonic analytic initial data is studied. If the initial data $f(u)$ satisfies the condition $f^{(2N+1)}(u)<0$ for all $u\in\mathbf R$ except a number of isolated points, then the genus of the solution of the Whitham equations is at most equal to $N$, where $1\leq N\in\mathbf N$.
English version:
Theoretical and Mathematical Physics, 2000, Volume 122, Issue 1, Pages 46–57
DOI: https://doi.org/10.1007/BF02551169
Bibliographic databases:
Language: Russian
Citation: T. Grava, “Existence of a global solution of the Whitham equations”, TMF, 122:1 (2000), 58–71; Theoret. and Math. Phys., 122:1 (2000), 46–57
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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