90 citations · 339 across the 12 of their papers we have counts for
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nlin.SI2008★ 69 cited
Interpolating Dispersionless Integrable System
Maciej Dunajski
We introduce a dispersionless integrable system which interpolates between the dispersionless Kadomtsev-Petviashvili equation and the hyper-CR equation. The interpolating system ar…
nlin.SI2007★ 11 cited
Multidimensional integrable systems and deformations of Lie algebra homomorphisms
Maciej Dunajski, James D. E. Grant, Ian A. B. Strachan
We use deformations of Lie algebra homomorphisms to construct deformations of dispersionless integrable systems arising as symmetry reductions of anti--self--dual Yang--Mills equat…
nlin.SI2003
A class of Einstein--Weyl spaces associated to an integrable system of hydrodynamic type
Maciej Dunajski
HyperCR Einstein--Weyl equations in 2+1 dimensions reduce to a pair of quasi-linear PDEs of hydrodynamic type. All solutions to this hydrodynamic system can be in principle constru…