Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modulation instability and non-degenerate Akhmediev breathers of Manakov
  equations   We reveal a new class of \textit{non-degenerate} Akhmediev breather (AB)
solutions of Manakov equations that only exist in the focusing case. Based on
exact solutions, we present the existence diagram of such excitations on the
frequency-wavenumber plane. Conventional single-frequency modulation
instability leads to simultaneous excitation of three ABs with two of them
being non-degenerate.

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The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int