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Teoreticheskaya i Matematicheskaya Fizika, 1990, Volume 85, Number 2, Pages 205–210 (Mi tmf5943)  
This article is cited in 10 scientific papers (total in 10 papers)

Generalized hodograph method from the group-theoretical point of view

V. R. Kudashev, S. E. Sharapov
Full-text PDF (498 kB) Citations (10)
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Abstract: It is shown that the scale invariance of equations of hydrodynamic type leads to an algebraic construction of a series of group-invariant solutions corresponding to the generalized hodograph method. A solution of Whitham's equations for the KdV equation is obtained for certain initial conditions.
Received: 07.05.1990
English version:
Theoretical and Mathematical Physics, 1990, Volume 85, Issue 2, Pages 1155–1159
DOI: https://doi.org/10.1007/BF01086844
Bibliographic databases:
Language: Russian
Citation: V. R. Kudashev, S. E. Sharapov, “Generalized hodograph method from the group-theoretical point of view”, TMF, 85:2 (1990), 205–210; Theoret. and Math. Phys., 85:2 (1990), 1155–1159
Citation in format AMSBIB
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\by V.~R.~Kudashev, S.~E.~Sharapov
\paper Generalized hodograph method from the group-theoretical point of~view
\jour TMF
\yr 1990
\vol 85
\issue 2
\pages 205--210
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1090076}
\zmath{https://zbmath.org/?q=an:0723.76009|0706.76005}
\transl
\jour Theoret. and Math. Phys.
\yr 1990
\vol 85
\issue 2
\pages 1155--1159
\crossref{https://doi.org/10.1007/BF01086844}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1990FU79200005}
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  • https://www.mathnet.ru/eng/tmf/v85/i2/p205
    • This publication is cited in the following 10 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:389
    Full-text PDF :152
    References:45
    First page:1
     
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