Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-dimensional rational solitons and their blow-up via the Moutard
  transformation   By using the Moutard transformation of two-dimensional Schroedinger operators
we derive a procedure for constructing explicit examples of such operators with
rational fast decaying potentials and degenerate $L_2$-kernels (this
construction was sketched in arXiv:0706.3595) and show that if we take some of
these potentials as the Cauchy data for the Novikov-Veselov equation (a
two-dimensional version of the Korteweg-de Vries equation), then the
corresponding solutions blow up in a finite time

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The categories of this paper are: acc-phys
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The categories of this paper are: cs
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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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: patt-sol
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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: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th