This article is cited in 4 papers

Algorithm of building the solution of hyperbolic system of equation

A. V. Zhiber, Yu. G. Mihaylova

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences

Abstract: In the work obvious formulas of the solution of hyperbolic system of the equations with the zero generalized Laplace invariants, containing $2n$ of any functions, are obtained. The algorithm of construction of a boundary problem with the data on characteristics is resulted. As an example the solution of a problem of Gursa for linearized chains of Tody of a series $D_n$ is resulted.

Keywords: Laplace invariants, generalized Laplace invariants, problem of Gursa, chains of Tody.

UDC: 517.9

Received: 24.08.2009

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