Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Darboux transformations for differential operators on the superline   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.

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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
3
The categories of this paper are: physics
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The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: nlin