Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Initial-boundary value problems for integrable evolution equations with
  $3 \times 3$ Lax pairs   We present an approach for analyzing initial-boundary value problems for
integrable equations whose Lax pairs involve $3 \times 3$ matrices. Whereas
initial value problems for integrable equations can be analyzed by means of the
classical Inverse Scattering Transform (IST), the presence of a boundary
presents new challenges. Over the last fifteen years, an extension of the IST
formalism developed by Fokas and his collaborators has been successful in
analyzing boundary value problems for several of the most important integrable
equations with $2 \times 2$ Lax pairs, such as the Korteweg-de Vries, the
nonlinear Schr\"odinger, and the sine-Gordon equations. In this paper, we
extend these ideas to the case of equations with Lax pairs involving $3 \times
3$ matrices.

15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph