Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Linearized Classical Boussinesq System on the Half-Line   The linearization of the classical Boussinesq system is solved explicitly in
the case of nonzero boundary conditions on the half-line. The analysis relies
on the unified transform method of Fokas and is performed in two different
frameworks: (i) by exploiting the recently introduced extension of Fokas's
method to systems of equations; (ii) by expressing the linearized classical
Boussinesq system as a single, higher-order equation which is then solved via
the usual version of the unified transform. The resulting formula provides a
novel representation for the solution of the linearized classical Boussinesq
system on the half-line. Moreover, thanks to the uniform convergence at the
boundary, the novel formula is shown to satisfy the linearized classical
Boussinesq system as well as the prescribed initial and boundary data via a
direct calculation.

22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics