Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable scalable control of soliton propagation in broadband nonlinear
  optical waveguides   We develop a method for achieving scalable transmission stabilization and
switching of $N$ colliding soliton sequences in optical waveguides with
broadband delayed Raman response and narrowband nonlinear gain-loss. We show
that dynamics of soliton amplitudes in $N$-sequence transmission is described
by a generalized $N$-dimensional predator-prey model. Stability and bifurcation
analysis for the predator-prey model are used to obtain simple conditions on
the physical parameters for robust transmission stabilization as well as on-off
and off-on switching of $M$ out of $N$ soliton sequences. Numerical simulations
for single-waveguide transmission with a system of $N$ coupled nonlinear
Schr\"odinger equations with $2 \le N \le 4$ show excellent agreement with the
predator-prey model's predictions and stable propagation over significantly
larger distances compared with other broadband nonlinear single-waveguide
systems. Moreover, stable on-off and off-on switching of multiple soliton
sequences and stable multiple transmission switching events are demonstrated by
the simulations. We discuss the reasons for the robustness and scalability of
transmission stabilization and switching in waveguides with broadband delayed
Raman response and narrowband nonlinear gain-loss, and explain their advantages
compared with other broadband nonlinear waveguides.

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The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom