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Teoreticheskaya i Matematicheskaya Fizika, 1991, Volume 87, Number 1, Pages 40–47 (Mi tmf5467)  
This article is cited in 26 scientific papers (total in 26 papers)

Inheritance of KdV symmetries under Whitham averaging and hydrodynamic symmetries of the Witham equations

V. R. Kudashev, S. E. Sharapov
Full-text PDF (700 kB) Citations (26)
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Abstract: Explicit expressions that demonstrate the inheritance of some symmetries of the KdV equations by the Whitham equations for cnoidal KdV waves are obtained. A class of symmetries of Whitham equations of special form is found and described. Explicit expressions that describe a series of self-similar solutions of Whitham equations are obtained.
Received: 03.09.1990
English version:
Theoretical and Mathematical Physics, 1991, Volume 87, Issue 1, Pages 358–363
DOI: https://doi.org/10.1007/BF01016574
Bibliographic databases:
Language: Russian
Citation: V. R. Kudashev, S. E. Sharapov, “Inheritance of KdV symmetries under Whitham averaging and hydrodynamic symmetries of the Witham equations”, TMF, 87:1 (1991), 40–47; Theoret. and Math. Phys., 87:1 (1991), 358–363
Citation in format AMSBIB
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\by V.~R.~Kudashev, S.~E.~Sharapov
\paper Inheritance of~KdV symmetries under Whitham averaging and hydrodynamic symmetries of the Witham equations
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\vol 87
\issue 1
\pages 40--47
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\transl
\jour Theoret. and Math. Phys.
\yr 1991
\vol 87
\issue 1
\pages 358--363
\crossref{https://doi.org/10.1007/BF01016574}
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    • This publication is cited in the following 26 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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