Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Introducing phase jump tracking -- a fast method for eigenvalue
  evaluation of the direct Zakharov-Shabat problem   We propose a new method for finding discrete eigenvalues for the direct
Zakharov-Shabat problem, based on moving in the complex plane along the
argument jumps of the function $a(\zeta)$, the localization of which does not
require great accuracy. It allows to find all discrete eigenvalues taking into
account their multiplicity faster than matrix methods and contour integrals.
The method shows significant advantage over other methods when calculating a
large discrete spectrum, both in speed and accuracy.

11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph