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Teoreticheskaya i Matematicheskaya Fizika, 1988, Volume 75, Number 1, Pages 18–25 (Mi tmf4663)  
This article is cited in 6 scientific papers (total in 6 papers)

On straightening the characteristics of a quasilinear second-order equation

F. Kh. Mukminov
Full-text PDF (810 kB) Citations (6)
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Abstract: An invertible transformation that preserves the class of quasilinear second-order equations is proposed. Necessary and sufficient conditions are found under which this transformation carries a quasilinear equation into an equation with straight characteristics. For one quasilinear equation the general solution is found by means of the transformation. Examples of Lagrangians of the form $L(u,u_xu_y)$ possessing conservation laws of high order are given.
Received: 26.11.1986
English version:
Theoretical and Mathematical Physics, 1988, Volume 75, Issue 1, Pages 340–345
DOI: https://doi.org/10.1007/BF01017167
Bibliographic databases:
Language: Russian
Citation: F. Kh. Mukminov, “On straightening the characteristics of a quasilinear second-order equation”, TMF, 75:1 (1988), 18–25; Theoret. and Math. Phys., 75:1 (1988), 340–345
Citation in format AMSBIB
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\by F.~Kh.~Mukminov
\paper On straightening the characteristics of a~quasilinear second-order equation
\jour TMF
\yr 1988
\vol 75
\issue 1
\pages 18--25
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=955664}
\zmath{https://zbmath.org/?q=an:0684.35005}
\transl
\jour Theoret. and Math. Phys.
\yr 1988
\vol 75
\issue 1
\pages 340--345
\crossref{https://doi.org/10.1007/BF01017167}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1988U172800002}
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    • This publication is cited in the following 6 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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    References:81
    First page:1
     
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