Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A KAM Theorem for Higher Dimensional Reversible Nonlinear
  Schr\"{o}dinger Equations   In the paper, we prove an abstract KAM (Kolmogorov-Arnold-Moser) theorem for
infinite dimensional reversible systems. Using this KAM theorem, we obtain the
existence and linear stability of quasi-periodic solutions for a class of
reversible (non-Hamiltonian) coupled nonlinear Schr\"{o}dinger systems on
$d-$torus $\mathbb{T}^d$.

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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc