Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: q-Viscous Burgers' Equation: Dynamical Symmetry, Shock Solitons and
  q-Semiclassical Expansion   We propose new type of $q$-diffusive heat equation with nonsymmetric
$q$-extension of the diffusion term. Written in relative gradient variables
this system appears as the $q$- viscous Burgers' equation. Exact solutions of
this equation in polynomial form as generalized Kampe de Feriet polynomials,
corresponding dynamical symmetry and description in terms of Bell polynomials
are derived. We found the generating function for these polynomials by
application of dynamical symmetry and the Zassenhaus formula. We have
constructed and analyzed shock solitons and their interactions with different
$q$. We obtain modification of the soliton relative speeds depending on value
of $q$.For $q< 1$ the soliton speed becomes bounded from above and as a result
in addition to usual Burgers soliton process of fusion, we found a new
phenomena, when soliton with higher amplitude but smaller velocity is fissing
to two solitons. q-Semiclassical expansion of these equations are found in
terms of Bernoulli polynomials in power of $\ln q$.

29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas