Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Peregrine comb: multiple compression points for Peregrine rogue waves in
  periodically modulated nonlinear Schr{\"o}dinger equations   It is shown that sufficiently large periodic modulations in the coefficients
of a nonlinear Schr{\"o}dinger equation can drastically impact the spatial
shape of the Peregrine soliton solutions: they can develop multiple compression
points of the same amplitude, rather than only a single one, as in the
spatially homogeneous focusing nonlinear Schr{\"o}dinger equation. The
additional compression points are generated in pairs forming a comb-like
structure. The number of additional pairs depends on the amplitude of the
modulation but not on its wavelength, which controls their separation distance.
The dynamics and characteristics of these generalized Peregrine soliton are
analytically described in the case of a completely integrable modulation. A
numerical investigation shows that their main properties persist in
nonintegrable situations, where no exact analytical expression of the
generalized Peregrine soliton is available. Our predictions are in good
agreement with numerical findings for an interesting specific case of an
experimentally realizable periodically dispersion modulated photonic crystal
fiber. Our results therefore pave the way for the experimental control and
manipulation of the formation of generalized Peregrine rogue waves in the wide
class of physical systems modeled by the nonlinear Schr{\"o}dinger equation.

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The categories of this paper are: solv-int
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: math
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph