Geodesic
Symmetries and Goursat problem for system of equations $u_{xy}=e^{u+v}u_y$, $v_{xy}=-e^{u+v}v_y$
Ufa mathematical journal, Tome 5 (2013) no. 3, pp. 20-27

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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, integrals.
Mots-clés : Goursat problem 
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     author = {Yu. G. Voronova and A. V. Zhiber},
     title = {Symmetries and {Goursat} problem for system of equations $u_{xy}=e^{u+v}u_y$, $v_{xy}=-e^{u+v}v_y$},
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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 mathematical journal, Tome 5 (2013) no. 3, pp. 20-27. http://geodesic.mathdoc.fr/item/UFA_2013_5_3_a2/