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nlin.SI2006★ 6 cited
On the dressing method for Dunajski anti-self-duality equation
L. V. Bogdanov, V. S. Dryuma, S. V. Manakov
A dressing scheme applicable to Dunajski equation is developed. Simple example of constructing solutions in terms of implicit functions is considered. Dunajski equation hierarchy i…
nlin.SI2006
On the heavenly equation hierarchy and its reductions
L. V. Bogdanov, B. G. Konopelchenko
Second heavenly equation hierarchy is considered using the framework of hyper-Kähler hierarchy developed by Takasaki. Generating equations for the hierarchy are introduced, they ar…