Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A remark on a variable-coefficient Bernoulli equation based on auxiliary
  -equation method for nonlinear physical systems   It is well recognized that in auxiliary equation methods, the exact solutions
of different types of auxiliary equations may produce new types of exact
travelling wave solutions to nonlinear partial differential equations in hand.
In this study, we extend the class of auxiliary equations of classical
Bernoulli equation which considered by various researchers [27, 31, 32, 33, 34,
35] to a variable-coefficient Bernoulli type equation. The proposed
variable-coefficient Bernoulli type auxiliary equation produces many new
solutions comparing to classical Bernoulli equation which produce two solutions
only. Consequently, we introduce new exact travelling wave solutions of some
physical systems in terms of these new solutions of the variable-coefficient
Bernoulli type equation.

32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org