Euler integrals and multi-integrals of linear partial differential equations |
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Authors: | E. I. Ganzha |
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Affiliation: | 1. Krasnoyarsk State Pedagogical University, Krasnoyarsk, Russia
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Abstract: | In this paper, we discuss the notion of reducibility of solutions of the Euler form generalizing solutions arising from the Laplace cascade method for integrating second-order hyperbolic equations in the plane. We present reduction algorithms and prove the equivalence of various possible exact definitions of the reduction of similar explicit solutions. |
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