Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lax representation of the hyperbolic van Diejen dynamics with two
  coupling parameters   In this paper, we construct a Lax pair for the classical hyperbolic van
Diejen system with two independent coupling parameters. Built upon this
construction, we show that the dynamics can be solved by a projection method,
which in turn allows us to initiate the study of the scattering properties. As
a consequence, we prove the equivalence between the first integrals provided by
the eigenvalues of the Lax matrix and the family of van Diejen's commuting
Hamiltonians. Also, at the end of the paper, we propose a candidate for the Lax
matrix of the hyperbolic van Diejen system with three independent coupling
constants.

21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
16
The categories of this paper are: stat
19
The categories of this paper are: eess