Differential substitutions for non-Abelian equations of KdV type

Published 7 Mar 2021 in nlin.SI | (2103.04370v1)

Abstract: We construct non-Abelian analogs for some KdV type equations, including the (rational form of) exponential Calogero--Degasperis equation and generalizations of the Schwarzian KdV equation. Equations and differential substitutions under study contain arbitrary non-Abelian parameters.

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V. E. Adler

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