Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Binary Nonlinearization of Lax Pairs   A kind of Bargmann symmetry constraints involving Lax pairs and adjoint Lax
pairs is proposed for soliton hierarchy. The Lax pairs and adjoint Lax pairs
are nonlinearized into a hierarchy of commutative finite dimensional integrable
Hamiltonian systems and explicit integrals of motion may also be generated. The
corresponding binary nonlinearization procedure leads to a sort of involutive
solutions to every system in soliton hierarchy which are all of finite gap. An
illustrative example is given in the case of AKNS soliton hierarchy.

20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con