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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 3, Pages 577–591 (Mi smj1091)  
This article is cited in 3 scientific papers (total in 3 papers)

Invariants of characteristics of some systems of partial differential equations

O. V. Kaptsov

Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (238 kB) Citations (3)
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Abstract: We introduce the notion of an invariant of characteristics for a system of first-order partial differential equations. We prove that the existence of invariants is connected with passiveness of some systems. We describe a few methods for construction of new invariants from those already known. We give a scheme for application of the invariants to reduction and integration of systems of partial differential equations. As an application we consider the equation of gas dynamics.
Keywords: characteristic, invariant, Darboux's method.
Received: 27.05.2003
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 3, Pages 475–487
DOI: https://doi.org/10.1023/B:SIMJ.0000028612.51060.32
Bibliographic databases:
UDC: 517.956
Language: Russian
Citation: O. V. Kaptsov, “Invariants of characteristics of some systems of partial differential equations”, Sibirsk. Mat. Zh., 45:3 (2004), 577–591; Siberian Math. J., 45:3 (2004), 475–487
Citation in format AMSBIB
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\paper Invariants of characteristics of some systems of partial differential equations
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\issue 3
\pages 577--591
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\transl
\jour Siberian Math. J.
\yr 2004
\vol 45
\issue 3
\pages 475--487
\crossref{https://doi.org/10.1023/B:SIMJ.0000028612.51060.32}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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