Reducibility of Euler integrals and multiintegrals
Ganzha, E. I.
Original · EN
We discuss the notion of reduction of a special type of explicit solutions which generalize the solutions appearing in the classical Laplace cascade method of integration of hyperbolic equations of the second order in the plane. We give algorithms of reduction and prove that different natural precise definitions of reduction are equivalent. Keywords: cascade integration method, integrable systems, Euler integrals.
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