Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical solutions of the symmetric regularized-long-wave equation by
  trigonometric integrator pseudospectral discretization   The computation of the symmetric regularized-long-wave (SRLW) equation, which
describes weekly nonlinear ion acoustic and space-charge waves, is dealt with
in this paper. The numerical scheme to be proposed applies the Fourier
pseudospectral discretization to spatial derivatives in time space, with time
advance accomplished in phase space by a integrator based on trigonometric
polynomials which is fully explicit. Extensive numerical tests are reported,
which are geared towards understanding the accuracy properties and studying the
collisions of solitary waves in the SRLW. The results suggest that the scheme
is of spectral-order accuracy in space and second-order accuracy in time. Also,
some intriguing phenomena in the solitary wave collisions are observed in
simulations.

18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an