Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stabilizing soliton-based multichannel transmission with frequency
  dependent linear gain-loss   We report several major theoretical steps towards realizing stable
long-distance multichannel soliton transmission in Kerr nonlinear waveguide
loops. We find that transmission destabilization in a single waveguide is
caused by resonant formation of radiative sidebands and investigate the
possibility to increase transmission stability by optimization with respect to
the Kerr nonlinearity coefficient $\gamma$. Moreover, we develop a general
method for transmission stabilization, based on frequency dependent linear
gain-loss in Kerr nonlinear waveguide couplers, and implement it in two-channel
and three-channel transmission. We show that the introduction of frequency
dependent loss leads to significant enhancement of transmission stability even
for non-optimal $\gamma$ values via decay of radiative sidebands, which takes
place as a dynamic phase transition. For waveguide couplers with frequency
dependent linear gain-loss, we observe stable oscillations of soliton
amplitudes due to decay and regeneration of the radiative sidebands.

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The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
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The categories of this paper are: econ
10
The categories of this paper are: q-bio