Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On classification of the solutions for general elliptic equation   The B\"acklund transformations and the superposition formulas for two
sub--equations of the general elliptic equation are constructed from the
Riccati equation by using an indirect mapping method.The thirty-six previously
known solutions of the general elliptic equation are proved to be equivalent to
the another ten solutions.The classification of solutions for the general
elliptic equation is obtained based on the equivalence relations.The general
elliptic equation expansion method with new classified solutions are used to
obtain abundant new exact traveling wave solutions of a modified Camassa-Holm
equation.

26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
16
The categories of this paper are: stat
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom