Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the extended multi-component Toda hierarchy   The extended flow equations of the multi-component Toda hierarchy are
constructed. We give the Hirota bilinear equations and tau function of this new
extended multi-component Toda hierarchy(EMTH). Because of logarithmic terms,
some extended vertex operators are constructed in generalized Hirota bilinear
equations which might be useful in topological field theory and Gromov-Witten
theory. Meanwhile the Darboux transformation and bi-Hamiltonian structure of
this hierarchy are given. From the Hamiltonian tau symmetry, we give another
different tau function of this hierarchy with some unknown mysterious
connections with the one defined from the point of wave functions.

32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org