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Cascade method of Laplace integration for linear hyperbolic systems of equations

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Abstract

We propose a generalization of the cascade method of Laplace integration to the case of linear hyperbolic systems of equations. On the basis of this generalization, we prove that the system of equations with vanishing product of Laplace invariants has a complete set of solutions depending on arbitrary functions.

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Authors and Affiliations

  1. Institute of Mathematics with Computer Center, RAS, St. Petersburg, Russia

    S. Y. Startsev

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  1. S. Y. Startsev
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Correspondence to S. Y. Startsev.

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Original Russian Text © S. Y. Startsev, 2008, published in Matematicheskie Zametki, 2008, Vol. 83, No. 1, pp. 107–118.

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Startsev, S.Y. Cascade method of Laplace integration for linear hyperbolic systems of equations. Math Notes 83, 97–106 (2008). https://doi.org/10.1134/S0001434608010124

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