On a class of multidimensional integrable hierarchies and their reductions
Exactly Solvable and Integrable Systems
2016-03-16 v2
Abstract
A class of multidimensional integrable hierarchies connected with commutation of general (unreduced) (N+1)-dimensional vector fields containing derivative over spectral variable is considered. They are represented in the form of generating equation, as well as in the Lax-Sato form. A dressing scheme based on nonlinear vector Riemann problem is presented for this class. The hierarchies connected with Manakov-Santini equation and Dunajski system are considered as illustrative examples.
Cite
@article{arxiv.0810.2397,
title = {On a class of multidimensional integrable hierarchies and their reductions},
author = {L. V. Bogdanov},
journal= {arXiv preprint arXiv:0810.2397},
year = {2016}
}
Comments
Talk at NLP5 conference, Gallipoli. 8 pages. Formulae for the second flows of Dunajski equation hierarchy corrected (page 6)