Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Number of solitons produced from a large initial pulse in the
  generalized NLS dispersive hydrodynamics theory   We show that the number of solitons produced from an arbitrary initial pulse
of the simple wave type can be calculated analytically if its evolution is
governed by a generalized nonlinear Schr\"{o}dinger equation provided this
number is large enough. The final result generalizes the asymptotic formula
derived for completely integrable nonlinear wave equations like the standard
NLS equation with the use of the inverse scattering transform method.

14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex