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math-ph2024
On pressureless Euler equation with external force
B. G. Konopelchenko, G. Ortenzi
Hodograph equations for the n-dimensional Euler equations with the constant pressure and external force linear in velocity are presented. They provide us with solutions of the Eule…
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…