28 citations · 51 across the 8 of their papers we have counts for
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nlin.SI2014★ 1 cited
Darboux Transformations for (2+1)-Dimensional Extensions of the KP Hierarchy
Oleksandr Chvartatskyi, Yuriy Sydorenko
New extensions of the KP and modified KP hierarchies with self-consistent sources are proposed. The latter provide new generalizations of -dimensional integrable equations,…
nlin.SI2014
'Riemann Equations' in Bidifferential Calculus
Oleksandr Chvartatskyi, Folkert Mueller-Hoissen, Nikola Stoilov
We consider equations that formally resemble a matrix Riemann (or Hopf) equation in the framework of bidifferential calculus. With different choices of a first-order bidifferential…