This article is cited 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. Voronova^a, A. V. Zhiber<sup>b

a</sup> Ufa State Aviation Technical University, K. Marx str., 12, 450000, Ufa, Russia
^b Institute of Mathematics USC RAS, Chernyshevsky str., 112, 450000, Ufa, Russia

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.

UDC: 517.9

MSC: 35L53, 76M60, 58J70

Received: 17.07.2013

 English version: Ufa Mathematical Journal, 2013, 5:3, 20–27

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