Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Variational Approach in the Dissipative Nonlinear Schr\"{o}dinger
  Equation   The properties of pulse propagation in a nonlinear fiber including linear
damped term added in the usual nonlinear Schr\"odinger equation is analyzed
analytically. We apply variational modified approach based on the lagrangian
that describe the dynamic of system and with a trial function we obtain a
solution which is more accuracy when compared with a pertubative solution. As a
result, the problem of pulse propagation in a fiber with loss can be described
in good agreement with exact results.

11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio