Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear mode coupling in whispering-gallery-mode resonators   We present a first principle derivation of the coupled nonlinear
Schr\"{o}dinger equations that govern the interaction between two families of
modes with different transverse profiles in a generic whispering-gallery-mode
resonator. We find regions of modulational instability and the existence of
trains of bright solitons both in the normal and in the anomalous dispersion
regime.

31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
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The categories of this paper are: eess
4
The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th