paper

Differential substitutions for non-Abelian equations of KdV type

arXiv:2103.04370 · doi:10.13108/2021-13-2-107

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.

10 pages

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