Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An alternative approach to the quasi-Periodic solutions of the
  Hunter-Saxton hierarchy   This paper is dedicated to provide the global solutions of algebro-geometric
type for all the equations of a new commuting hierarchy containing the
Hunter-Saxton (HS) equation. Our main tools include the zero curvature method
to derive the HS hierarchy, the generalized Jacobian variety, the generalized
Riemann theta function, the Weyl $m$-fucntions $m_\pm(x,t,z)$, and the pole
motion obtained by solving an inverse problem for the Sturm-Liouville equation
$L(\psi_1)=-\psi_1^{\prime\prime}=zy\psi_1$. Based on these tools and the
theory of nonautonomous differential systems, topological dynamics and ergodic
theory, the algebro-geometric solutions are obtained for the entire HS
hierarchy.

37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol