Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Resonance structures in coupled two-component $\phi^4$ model   We present a numerical study of the process of the kink-antikink collisions
in the coupled one-dimensional two-component $\phi^4$ model. Our results reveal
two different soliton solutions which represent double kink configuration and
kink-non-topological soliton (lump) bound state. Collision of these solitons
leads to very reach resonance structure which is related to reversible energy
exchange between the kinks, non-topological solitons and the internal
vibrational modes. Various channels of the collisions are discussed, it is
shown there is a new type of self-similar fractal structure which appears in
the collisions of the relativistic kinks, there the width of the resonance
windows increases with the increase of the impact velocity. An analytical
approximation scheme is discussed in the limit of the perturbative coupling
between the sectors. Considering the spectrum of linear fluctuations around the
solitons we found that the double kink configuration is unstable if the
coupling constant between the sectors is negative.

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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: econ