Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entwining Yang-Baxter maps related to NLS type equations   We construct birational maps that satisfy the parametric set-theoretical
Yang-Baxter equation and its entwining generalisation. For this purpose, we
employ Darboux transformations related to integrable Nonlinear Schr\"odinger
type equations and study the refactorisation problems of the product of their
associated Darboux matrices. Additionally, we study various algebraic
properties of the derived maps, such as invariants and associated symplectic or
Poisson structures, and we prove their complete integrability in the Liouville
sense.

16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org