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Ufa Mathematical Journal, 2013, Volume 5, Issue 3, Pages 20–27
DOI: https://doi.org/10.13108/2013-5-3-20 (Mi ufa206) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Symmetries and Goursat problem for system of equations $u_{xy}=e^{u+v}u_y$, $v_{xy}=-e^{u+v}v_y$

Yu. G. Voronovaa, A. V. Zhiberb

a Ufa State Aviation Technical University, K. Marx str., 12, 450000, Ufa, Russia
b Institute of Mathematics USC RAS, Chernyshevsky str., 112, 450000, Ufa, Russia
English version PDF (332 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.13108/2013-5-3-20
Abstract: We describe the higher symmetries and construct the general solution for a hyperbolic system of equations. We also obtain the explicit formula for the solution of Goursat problem.
Keywords: symmetries, Goursat problem, integrals.
Received: 17.07.2013
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 35L53, 76M60, 58J70
Language: English
Original paper language: Russian
Citation: Yu. G. Voronova, A. V. Zhiber, “Symmetries and Goursat problem for system of equations $u_{xy}=e^{u+v}u_y$, $v_{xy}=-e^{u+v}v_y$”, Ufa Math. J., 5:3 (2013), 20–27
Citation in format AMSBIB
\Bibitem{VorZhi13}
\by Yu.~G.~Voronova, A.~V.~Zhiber
\paper Symmetries and Goursat problem for system of equations $u_{xy}=e^{u+v}u_y$, $v_{xy}=-e^{u+v}v_y$
\jour Ufa Math. J.
\yr 2013
\vol 5
\issue 3
\pages 20--27
\mathnet{http://mi.mathnet.ru//eng/ufa206}
\crossref{https://doi.org/10.13108/2013-5-3-20}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3430784}
\elib{https://elibrary.ru/item.asp?id=20930797}
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  • https://doi.org/10.13108/2013-5-3-20
  • https://www.mathnet.ru/eng/ufa/v5/i3/p20
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Уфимский математический журнал
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    Abstract page:301
    Russian version PDF:125
    English version PDF:12
    References:62
    First page:2
     
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