Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-symmetry constraints of the AKNS system yielding integrable
  Hamiltonian systems   This paper aims to show that there exist non-symmetry constraints which yield
integrable Hamiltonian systems through nonlinearization of spectral problems of
soliton systems, like symmetry constraints. Taking the AKNS spectral problem as
an illustrative example, a class of such non-symmetry constraints is introduced
for the AKNS system, along with two-dimensional integrable Hamiltonian systems
generated from the AKNS spectral problem.

15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs