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

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

2007-07-11

arxiv.org/abs/0707.1675v1

Journal of Physics A, 40 (2007) 14383-14393

Nonlinear Sciences

Exactly Solvable and Integrable Systems

13 pages

Scientific paper

10.1088/1751-8113/40/48/005

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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