38 citations · 210 across the 28 of their papers we have counts for
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nlin.SI2024
Affine manifolds: The differential geometry of the multi-dimensionally consistent TED equation
W. K. Schief, U. Hertrich-Jeromin, B. G. Konopelchenko
It is shown that a canonical geometric setting of the integrable TED equation is a Kahlerian tangent bundle of an affine manifold. The remarkable multi-dimensional consistency of t…
nlin.SI2021★ 5 cited
Discrete cyclic systems and circle congruences
Udo Hertrich-Jeromin, Gudrun Szewieczek
We discuss integrable discretizations of 3-dimensional cyclic systems, that is, orthogonal coordinate systems with one family of circular coordinate lines. In particular, the under…