Geodesic
Interpolating differential reductions of multidimensional integrable hierarchies
Teoretičeskaâ i matematičeskaâ fizika, Tome 167 (2011) no. 3, pp. 354-363 Cet article a éte moissonné depuis la source Math-Net.Ru

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We apply the scheme for constructing differential reductions recently developed for the Manakov–Santini hierarchy to the general multidimensional case. We consider the four-dimensional case connected with the second heavenly equation and its generalization proposed by Dunajski in more detail. We characterize differential reductions in terms of the Lax–Sato equations and also in the framework of the dressing method based on the nonlinear Riemann–Hilbert problem.
Keywords: multidimensional integrable hierarchy, differential reduction, Plebański equation. 
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L. V. Bogdanov. Interpolating differential reductions of multidimensional integrable hierarchies. Teoretičeskaâ i matematičeskaâ fizika, Tome 167 (2011) no. 3, pp. 354-363. http://geodesic.mathdoc.fr/item/TMF_2011_167_3_a2/

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