Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A refined asymptotic behavior of traveling wave solutions for degenerate
  nonlinear parabolic equations   In this paper, we consider the asymptotic behavior of traveling wave
solutions of the degenerate nonlinear parabolic equation:
$u_{t}=u^{p}(u_{xx}+u)-\delta u$ ($\delta = 0$ or $1$) for $\xi \equiv x - ct
\to - \infty$ with $c>0$. We give a refined one of them, which was not obtain
in the preceding work [Ichida-Sakamoto, 2020], by an appropriate asymptotic
study and properties of the Lambert $W$ function.

13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph