Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quartic Kerr solitons   Solitons, ubiquitous in nonlinear sciences, are wavepackets which maintain
their characteristic shape upon propagation. In optics, they have been observed
and extensively studied in optical fibers. The spontaneous generation of a
dissipative Kerr soliton (DKS) train in an optical microresonator pumped with
continuous wave (CW) coherent light has placed solitons at the heart of optical
frequency comb research in recent years. The commonly observed soliton has a
``sech''-shaped envelope resulting from resonator cubic nonlinearity balanced
by its quadratic anomalous group velocity dispersion (GVD). Here we exploit the
Lagrangian variational method to show that CW pumping of a Kerr microresonator
featuring quartic GVD forms a pure quartic soliton (PQS) with Gaussian
envelope. We find analytical expressions for pulse parameters in terms of
experimentally relevant quantities and derive an area theorem. Predictions of
the analytical calculations are validated with extensive numerical simulations.
The broader bandwidth and flatter spectral envelope of a PQS, compared to a DKS
of the same pulse width and peak power, make it superior for applications
requiring small line-to-line power variation in frequency comb harmonics.

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The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn