Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pulse solutions of the fractional effective models of the
  Fermi-Pasta-Ulam lattice with long-range interactions   We study analytical solutions of the Fractional Boussinesq Equation (FBE),
which is an effective model for the Fermi-Pasta-Ulam (FPU) one-dimensional
lattice with long-range couplings. The couplings decay as a power-law with
exponent s, with 1 < s < 3, so that the energy density is finite, but s is
small enough to observe genuine long-range effects. The analytic solutions are
obtained by introducing an ansatz for the dependence of the field on space and
time. This allows to reduce the FBE to an ordinary differential equation, which
can be explicitly solved. The solutions are initially localized and they
delocalize progressively as time evolves. Depending on the value of s the
solution is either a pulse (meaning a bump) or an anti-pulse (i.e., a hole) on
a constant field for 1 < s < 2 and 2 < s < 3, respectively.

30
The categories of this paper are: q-alg
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an