Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On scattering of small energy solutions of non autonomous hamiltonian
  nonlinear Schr\"odinger equations   We revisit a result by Cuccagna, Kirr and Pelinovsky about the cubic
nonlinear Schr\" odinger equation (NLS) with an attractive localized potential
and a time-dependent factor in the nonlinearity. We show that, under generic
hypotheses on the linearization at 0 of the equation, small energy solutions
are asymptotically free. This is yet a new application of the hamiltonian
structure, continuing a program initiated in a paper by Bambusi and Cuccagna.

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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
16
The categories of this paper are: stat