Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear Stability of Periodic-Wave Solutions for Systems of Dispersive
  Equations   We prove the orbital stability of periodic traveling-wave solutions for
systems of dispersive equations with coupled nonlinear terms. Our method is
basically developed under two assumptions: one concerning the spectrum of the
linearized operator around the traveling wave and another one concerning the
existence of a conserved quantity with suitable properties. The method can be
applied to several systems such as the Liu-Kubota-Ko system, the modified KdV
system and a log-KdV type system.

36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an