On the dressing method for Dunajski anti-self-duality equation
Abstract
A dressing scheme applicable to Dunajski equation is developed. Simple 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 characterised by conservation of three-dimensional volume form, in which a spectral variable is taken into account. Some reductions of Dunajsky equation hierarchy, including waterbag-type reduction, are studied.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2006
- DOI:
- 10.48550/arXiv.nlin/0612046
- arXiv:
- arXiv:nlin/0612046
- Bibcode:
- 2006nlin.....12046B
- Keywords:
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- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- 7 pages