Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytic solutions of the Madelung equation   We present analytic self-similar solutions for the one, two and three
dimensional Madelung hydrodynamical equation for a free particle. There is a
direct connection between the zeros of the Madelung fluid density and the
magnitude of the quantum potential.

18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin