Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generation of wave packets and breathers by oscillating kinks in the
  sine-Gordon system   Evolution of the nonequilibrium inhomogeneities and topological defects is
studied in terms of complex kink solutions of the sine-Gordon equation. The
weakly damped oscillation of the sine-Gordon kink, named as the kink quasimode,
is described explicitly. It is shown that the oscillatory kink behavior and the
wave packet generation depend significantly on the initial nonequilibrium kink
profile. In order to specify conditions of the generation of wobbling kinks
with a multibreather structure we reformulate the direct scattering problem
associated with the SG equation as the spectral problem of the Schr\"odinger
operator. We obtain the dependence of the radiation energy, which is emitted
during formation of the multi-frequency wobbling kink, on the effective
dimension of its initial profile.

29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas