Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A family of second Lie algebra structures for symmetries of
  dispersionless Boussinesq system   For the 3-component dispersionless Boussinesq-type system, we construct two
compatible nontrivial finite deformations for the Lie algebra structure in the
symmetry algebra.

13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th