Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The initial-boundary value problems for the coupled derivative nonlinear
  Schr\"odinger equations on the half-line   The unified transform method is used to analyze the initial-boundary value
problem for the coupled derivative nonlinear Schr\"odinger(CDNLS) equations on
the half-line. In this paper, we assume that the solution $u(x,t)$ and $v(x,t)$
of CDNLS equations are exists, and we show that it can be expressed in terms of
the unique solution of a matrix Riemann-Hilbert problem formulated in the plane
of the complex spectral parameter $\lambda$.

11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th