Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exhaustive derivation of static self-consistent multi-soliton solutions
  in the matrix Bogoliubov-de Gennes systems   The matrix-generalized Bogoliubov-de Gennes systems have recently been
considered by the present author [arXiv:1509.04242, Phys. Rev. B 93, 024512
(2016)], and time-dependent and self-consistent multi-soliton solutions have
been constructed based on the ansatz method. In this paper, restricting the
problem to the static case, we exhaustively determine the self-consistent
solutions using the inverse scattering theory. Solving the gap equation, we
rigorously prove that the self-consistent potential must be reflectionless. As
a supplementary topic, we elucidate the relation between the stationary
self-consistent potentials and the soliton solutions in the matrix nonlinear
Schr\"odinger equation. Asymptotic formulae of multi-soliton solutions for
sufficiently isolated solitons are also presented.

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The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph