Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the relation between non-homogeneous fractional Burgers equations and
  time-dependent harmonic oscillator   In this paper we discuss the relation between non-homogeneous nonlinear
fractional diffusive equations and the Schrodinger equation with time-dependent
harmonic potential. It is well known that the Cole-Hopf transformation allows
to linearize non-homogeneous nonlinear diffusive equations (NHNDEs) into a
Schrodinger-type equation with time-dependent potential. We first discuss the
utility of the results about time-dependent harmonic oscillator to build
explicit solution of such non-homogeneous nonlinear partial differential
equations. In particular, we recall that starting from a trial polynomial
solution of the NHNDE, it is possible to construct other solutions by using
linear invariants of the Schrodinger equation with time-dependent potential.
Finally we apply these results to find explicit solutions to a novel
non-homogeneous fractional Burgers-type equation.

23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat