On the dressing method for Dunajski anti-self-duality equation
Exactly Solvable and Integrable Systems
2007-05-23 v1
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.
Cite
@article{arxiv.nlin/0612046,
title = {On the dressing method for Dunajski anti-self-duality equation},
author = {L. V. Bogdanov and V. S. Dryuma and S. V. Manakov},
journal= {arXiv preprint arXiv:nlin/0612046},
year = {2007}
}
Comments
7 pages