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arXiv · 0707.1675

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

L. V. Bogdanov·V. S. Dryuma·S. V. Manakov
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Abstract

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.

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L. V. Bogdanov, V. S. Dryuma, S. V. Manakov. 2007-07-11. Dunajski generalization of the second heavenly equation: dressing method and the hierarchy. https://doi.org/10.1088/1751-8113/40/48/005

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