Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New Integrable Multi-Component NLS Type Equations on Symmetric Spaces:
  Z_4 and Z_6 Reductions   The reductions of the multi-component nonlinear Schrodinger (MNLS) type
models related to C.I and D.III type symmetric spaces are studied. We pay
special attention to the MNLS related to the sp(4), so(10) and so(12) Lie
algebras. The MNLS related to sp(4) is a three-component MNLS which finds
applications to Bose-Einstein condensates. The MNLS related to so(12) and
so(10) Lie algebras after convenient Z_6 or Z_4 reductions reduce to three and
four-component MNLS showing new types of chi ^(3)-interactions that are
integrable. We briefly explain how these new types of MNLS can be integrated by
the inverse scattering method. The spectral properties of the Lax operators L
and the corresponding recursion operator Lambda are outlined. Applications to
spinor model of Bose-Einstein condensates are discussed.

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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin