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

Authors

  • Yu.G. Voronova
    Ufa State Aviation Technical University, K. Marx str., 12, 450000, Ufa, Russia
  • A.V. Zhiber
    Institute of Mathematics USC RAS, Chernyshevsky str., 112, 450000, Ufa, Russia

DOI:

https://doi.org/10.13108/2013-5-3-20

Keywords:

symmetries, Goursat problem, integrals.

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.

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Published

20.09.2013

Issue

Vol. 5 No. 3 (2013): Ufa Mathematical Journal 2013, volume 5 , issue 3

Section

Article