Darboux transformations for differential operators on the superline

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.

References in corpus (1)

• Invertible Darboux Transformations

Cited by in corpus (4)

• Differential operators on the superline, Berezinians, and Darboux transformations
• Laplace maps and constraints for a class of third order partial differential operators
• Factorization of Darboux-Laplace transformations for discrete hyperbolic operatros
• Differential operators on the algebra of densities and factorization of the generalized Sturm-Liouville operator