Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modulation instability and controllable rogue waves with multiple
  compression points for periodically modulated coupled Hirota equations   Based on modulation instability analysis and generalized Darboux
transformation, we derive a hierarchy of rogue wave solutions for a
variable-coefficients coupled Hirota equations. The explicit first-order rogue
wave solution is presented, and the dark-bright and composite rogue waves with
multiple compression points are shown by choosing sufficiently large periodic
modulation amplitudes in the coefficients of the coupled equations. Also, the
dark-bright and composite Peregrine combs are generated from the multiple
compression points. For the second-order case, the darkbright three sisters,
rogue wave quartets and sextets structures with one or more rogue waves
involving multiple compression points are put forward, respectively.
Furthermore, some wave characteristics such as the difference between light
intensity and continuous wave background, and pulse energy evolution of the
dark rogue wave solution features multiple compression points are discussed.

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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
18
The categories of this paper are: econ
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The categories of this paper are: atom-ph
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph