Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The complex sine-Gordon model on a half line   In this paper, we examine the complex sine-Gordon model in the presence of a
boundary, and derive boundary conditions that preserve integrability. We
present soliton and breather solutions, investigate the scattering of particles
and solitons off the boundary and examine the existence of classical solutions
corresponding to boundary bound states.

14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math