Darboux transformations for differential operators on the superline
Mathematical Physics
2017-07-25 v1 Classical Analysis and ODEs
Differential Geometry
Dynamical Systems
math.MP
Abstract
We give a full description of Darboux transformations of any order for arbitrary (nondegenerate) differential operators on the superline. We show that every Darboux transformation of such operators factorizes into elementary Darboux transformations of order one. Similar statement holds for operators on the ordinary line.
Keywords
Cite
@article{arxiv.1505.05194,
title = {Darboux transformations for differential operators on the superline},
author = {Sean Hill and Ekaterina Shemyakova and Theodore Voronov},
journal= {arXiv preprint arXiv:1505.05194},
year = {2017}
}