Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical approximation to Benjamin type equations. Generation and
  stability of solitary waves   This paper is concerned with the study, by computational means, of the
generation and stability of solitary-wave solutions of generalized versions of
the Benjamin equation. The numerical generation of the solitary-wave profiles
is accurately performed with a modified Petviashvili method which includes
extrapolation to accelerate the convergence. In order to study the dynamics of
the solitary waves the equations are discretized in space with a Fourier
pseudospectral collocation method and a fourth-order, diagonally implicit
Runge-Kutta method of composition type as time-stepping integrator. The
stability of the waves is numerically studied by performing experiments with
small and large perturbations of the solitary pulses as well as interactions of
solitary waves.

22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs