Reducibility of Euler integrals and multiintegrals

Details Reducibility of Euler integrals and multiintegrals Reducibility of Euler integrals and multiintegrals

2008-12-31

arxiv.org/abs/0901.0037v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTeX, 22 pages. Submitted to Mathematical Notes v2: Grant support acknowledgement added

Scientific paper

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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