Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polynomial tau-functions of the symplectic KP, orthogonal KP and BUC
  hierarchies   This paper is concerned with the construction of the polynomial tau-functions
of the symplectic KP (SKP), orthogonal KP (OKP) hierarchies and universal
character hierarchy of B-type (BUC hierarchy), which are proved as zero modes
of certain combinations of the generating functions. By applying the strategy
of carrying out the action of the quantum fields on vacuum vector, the
generating functions for symplectic Schur function, orthogonal Schur function
and generalized Q-function have been presented. The remarkable feature is that
polynomial tau-functions are the coefficients of certain family of generating
functions. Furthermore, in terms of the Vandermonde-like identity and
properties of Pfaffian, it is showed that the polynomial tau-functions of the
SKP, OKP and BUC hierarchies canbe written as determinant and Pfaffian forms,
respectively. In addition, the soliton solutions of the SKP and OKP hierarchies
have been discussed.

16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat