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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,uxuy) 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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  • https://www.mathnet.ru/eng/tmf/v75/i1/p18
    • 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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    Abstract page:957
    Full-text PDF :148
    References:88
    First page:1
     
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