Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The role of multiple soliton and breather interactions in generation of
  rogue waves: the mKdV framework   The role of multiple soliton and breather interactions in formation of very
high waves is disclosed within the framework of integrable modified Korteweg -
de Vries (mKdV) equation. Optimal conditions for the focusing of many solitons
are formulated explicitly. Namely, trains of ordered solitons with alternate
polarities evolve to huge strongly localized transient waves. The focused wave
amplitude is exactly the sum of the focusing soliton heights; the maximum wave
inherits the polarity of the fastest soliton in the train. The focusing of
several solitary waves or/and breathers may naturally occur in a soliton gas
and will lead to rogue-wave-type dynamics; hence it represents a new nonlinear
mechanism of rogue wave generation. The discovered scenario depends crucially
on the soliton polarities (phases), and thus cannot be taken into account by
existing kinetic theories. The performance of the soliton mechanism of rogue
wave generation is shown for the example of focusing mKdV equation, when
solitons possess 'frozen' phases (polarities), though the approach works in
other integrable systems which admit soliton and breather solutions.

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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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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: physics
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: q-fin