Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inverse scattering transform and multiple high-order pole solutions for
  the Gerdjikov-Ivanov equation under the zero/nonzero background   In this article, the inverse scattering transform is considered for the
Gerdjikov-Ivanov equation with zero and non-zero boundary conditions by a
matrix Riemann-Hilbert (RH) method. The formula of the soliton solutions are
established by Laurent expansion to the RH problem. The method we used is
different from computing solution with simple poles since the residue
conditions here are hard to obtained. The formula of multiple soliton solutions
with one high-order pole and $N$ multiple high-order poles are obtained
respectively. The dynamical properties and characteristic for the high-order
pole solutions are further analyzed.

10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga