Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integrable Systems with Unitary Invariance from Non-stretching Geometric
  Curve Flows in the Hermitian Symmetric Space Sp(n)/U(n)   A moving parallel frame method is applied to geometric non-stretching curve
flows in the Hermitian symmetric space Sp(n)/U(n) to derive new integrable
systems with unitary invariance. These systems consist of a bi-Hamiltonian
modified Korteweg-de Vries equation and a Hamiltonian sine-Gordon (SG)
equation, involving a scalar variable coupled to a complex vector variable. The
Hermitian structure of the symmetric space Sp(n)/U(n) is used in a natural way
from the beginning in formulating a complex matrix representation of the
tangent space sp(n)/u(n) and its bracket relations within the symmetric Lie
algebra (u(n),sp(n)).

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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: hep-th