Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: mKdV Surfaces   In this work, we consider 2-surfaces in ${\mathbb R}^3$ arising from the
modified Korteweg de Vries (mKdV) equation. We give a method for constructing
the position vector of the mKdV surface explicitly for a given solution of the
mKdV equation. mKdV surfaces contain Willmore-like and Weingarten surfaces. We
show that some mKdV surfaces can be obtained from a variational principle where
the Lagrange function is a polynomial of the Gaussian and mean curvatures.

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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex