Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the tritronqu\'ee solutions of P$_I^2$   For equation P$_I^2$, the second member in the P$_I$ hierarchy, we prove
existence of various degenerate solutions depending on the complex parameter
$t$ and evaluate the asymptotics in the complex $x$ plane for $|x|\to\infty$
and $t=o(x^{2/3})$. Using this result, we identify the most degenerate
solutions $u^{(m)}(x,t)$, $\hat u^{(m)}(x,t)$, $m=0,...,6$, called {\em
tritronqu\'ee}, describe the quasi-linear Stokes phenomenon and find the large
$n$ asymptotics of the coefficients in a formal expansion of these solutions.
We supplement our findings by a numerical study of the tritronqu\'ee solutions.

34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics