Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On The Stability of the Compacton Solutions   The stability of the recently discovered compacton solutions is studied by
means of both linear stability analysis as well as Lyapunov stability criteria.
  From the results obtained it follows that, unlike solitons, all the allowed
compacton solutions are stable, as the stability condition is satisfied for
arbitrary values of the nonlinearity parameter. The results are shown to be
true even for the higher order nonlinear dispersion equations for compactons.
Some new conservation laws for the higher order nonlinear dispersion equations
are also presented.

24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an