Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On certain classes of solutions of the Weierstrass-Enneper system
  inducing constant mean curvature surfaces   Analysis of the generalized Weierstrass-Enneper system includes the
estimation of the degree of indeterminancy of the general analytic solution and
the discussion of the boundary value problem. Several different procedures for
constructing certain classes of solutions to this system, including potential,
harmonic and separable types of solutions, are proposed. A technique for
reduction of the Weierstrass-Enneper system to decoupled linear equations, by
subjecting it to certain differential constraints, is presented as well. New
elementary and doubly periodic solutions are found, among them kinks, bumps and
multi-soliton solutions.

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The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga