Dunajski generalization of the second heavenly equation: dressing method and the hierarchy

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Bogdanov, L. V.
Dryuma, V. S.
Manakov, S. V.
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Abstract
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Dunajski generalization of the second heavenly equation is studied. A dressing scheme applicable to Dunajski equation is developed, an example of constructing solutions in terms of implicit functions is considered. Dunajski equation hierarchy is described, its Lax-Sato form is presented. Dunajsky equation hierarchy is characterized by conservation of three-dimensional volume form, in which a spectral variable is taken into account.
Comment: 13 pages
Keywords
Nonlinear Sciences - Exactly Solvable and Integrable Systems
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