Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modulation of localized solutions for the Schr\"odinger equation with
  logarithm nonlinearity   We investigate the presence of localized analytical solutions of the
Schr\"odinger equation with logarithm nonlinearity. After including
inhomogeneities in the linear and nonlinear coefficients, we use similarity
transformation to convert the nonautonomous nonlinear equation into an
autonomous one, which we solve analytically. In particular, we study stability
of the analytical solutions numerically.

10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn