Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bifurcating bright and dark solitary waves of the nearly nonlinear
  cubic-quintic Schrodinger equation   The existence of bright and dark multi-bump solitary waves for
Ginzburg-Landau type perturbations of the cubic-quintic Schrodinger equation is
considered. The waves in question are not perturbations of known analytic
solitary waves, but instead arise as a bifurcation from a heteroclinic cycle in
a three dimensional ODE phase space. Using geometric singular perturbation
techniques, regions in parameter space for which 1-bump bright and dark
solitary waves will bifurcate are identified. The existence of N-bump dark
solitary waves is shown via an application of the Exchange Lemma with
Exponentially Small Error. N-bump bright solitary waves are shown to exist as a
consequence of the previous work of S. Maier-Paape and this author.

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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
3
The categories of this paper are: physics