Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Parametric evolution, addition of boundstates and generalised Lax
  hierarchies   The connection of the 'time' evolution of the eigenstates of the
reflectionless potentials of the Lax hierarchy to the more general case of the
'time' evolution of the eigenstates of the Schroedinger equation for potentials
with non-vanishing reflection coefficients is explored. A new hierarchy of
functions satisfying 'time' dependent equations is established.

4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th