Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterization of Rational Solutions of a KdV-Like Equation   We characterize the rational solutions to a KdV-like equation which are
generated from polynomial solutions to the corresponding generalized bilinear
equation. We use a particular class of polynomials satisfying a quadratic
difference equation to obtain that there are no solutions of the bilinear
equation with degree (in the spatial variable) greater than 5. As a byproduct,
we answer positively a conjecture of Yi Zhang and Wen-Xiu Ma about these
solutions.

22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th