Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: B\"{a}cklund and Darboux transformations for the nonstationary
  Schr\"{o}dinger equation   Potentials of the nonstationary Schr\"{o}dinger operator constructed by means
of $n$ recursive B\"{a}cklund transformations are studied in detail.
Corresponding Darboux transformations of the Jost solutions are introduced. We
show that these solutions obey modified integral equations and present their
analyticity properties. Generated transformations of the spectral data are
derived.

17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs