Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The unified transform method for the Sasa-Satsuma equation on the
  interval   We present a Riemann-Hilbert problem formalism for the initial-boundary value
problem for the Sasa-Satsuma(SS) equation on the finite interval. Assume that
the solution existes, we show that this solution can be expressed in terms of
the solution of a $3\times 3$ Riemann-Hilbert problem. The relevant jump
matrices are explicitly given in terms of the three matrix-value spectral
functions $s(k)$, $S(k)$ and $S_L(k)$, which in turn are defined in terms of
the initial values, boundary values at $x=0$ and boundary values at $x=L$,
respectively. However, for a well-posed problem, only part of the boundary
values can be prescribed, the remaining boundary data cannot be independently
specified, but are determined by the so-called global relation. Here, we
analyze the global relation to characterize the unknown boundary values in
terms of the given initial and boundary data.

25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg