Linearly degenerate hierarchies of quasiclassical SDYM type
Exactly Solvable and Integrable Systems
2017-10-25 v2 Mathematical Physics
Differential Geometry
math.MP
Abstract
We demonstrate that SDYM equations for the Lie algebra of one-dimensional vector fields represent a natural reduction in the framework of general linearly degenerate dispersionless hierarchy. We define the reduction in terms of wave functions, introduce generating relation, Lax-Sato equations and the dressing scheme for the reduced hierarchy. Multidimensional case is also discussed.
Keywords
Cite
@article{arxiv.1603.00238,
title = {Linearly degenerate hierarchies of quasiclassical SDYM type},
author = {L. V. Bogdanov and M. V. Pavlov},
journal= {arXiv preprint arXiv:1603.00238},
year = {2017}
}
Comments
21 pages; reference [10] and a comment after equation (7) added