Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Soliton on Unstable Condensate   We construct new exact solutions of the focusing Nonlinear Schr\"{o}dinger
equation (NLSE). This is a soliton propagating on an unstable condensate. The
Kuznetsov and Akhmediev solitons as well as the Peregrine instanton are
particular cases of this new solution. We discuss applications of this new
solution to the description of freak (rogue) waves in the ocean and in optical
fibers.

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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: physics
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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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: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys