Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conditional probability calculations for the nonlinear Schr\"odinger
  equation with additive noise   The method for computation of conditional probability density function for
the nonlinear Schr\"odinger equation with additive noise is developed. We
present in a constructive form the conditional probability density function in
the limit of a small noise and analytically derive it in a weakly nonlinear
case. The general theory results are illustrated using fibre-optic
communications as a particular, albeit practically very important, example.

37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex