Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The exact solutions and their linear stability analysis for
  2-dimensional Ablowitz-Ladik equation   The Ablowitz-Ladik equation is a very important model in the nonlinear
mathematical physics. In this paper, the hyperbolic function solitary wave
solutions, the trigonometric function periodic wave solutions and the rational
wave solutions with more arbitrary parameters of 2-dimensional Ablowitz-Ladik
equation are derived by using the GG-expansion method, and the effect of the
parameters (including the coupling constant and other parameters) on the linear
stability of the exact solutions is analysed and numerically simulated.

32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th