Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On additional symmetries of the KP hierarchy and Sato's B\"acklund
  transformation   A short proof is given to the fact that the additional symmetries of the KP
hierarchy defined by their action on pseudodifferential operators, according to
Fuchssteiner-Chen-Lee-Lin-Orlov-Shulman, coincide with those defined by their
action on $\tau$-functions as Sato's B\"acklund transformations. Also a new
simple formula for the generator of additional symmetries is presented.

29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph