`Interpolating' differential reductions of multidimensional integrable hierarchies
Exactly Solvable and Integrable Systems
2015-05-20 v1
Abstract
We transfer the scheme of constructing differential reductions, developed recently for the case of the Manakov-Santini hierarchy, to the general multidimensional case. We consider in more detail the four-dimensional case, connected with the second heavenly equation and its generalization proposed by Dunajski. We give a characterization of differential reductions in terms of the Lax-Sato equations as well as in the framework of the dressing method based on nonlinear Riemann-Hilbert problem.
Cite
@article{arxiv.1011.0631,
title = {`Interpolating' differential reductions of multidimensional integrable hierarchies},
author = {L. V. Bogdanov},
journal= {arXiv preprint arXiv:1011.0631},
year = {2015}
}
Comments
Based on the talk at NLPVI, Gallipoli, 15 pages