Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximated profiles for discrete solitons in DNLS lattices   We study four different approximations for finding the profile of discrete
solitons in the one-dimensional Discrete Nonlinear Schr\"odinger (DNLS)
Equation. Three of them are discrete approximations (namely, a variational
approach, an approximation to homoclinic orbits and a Green-function approach),
and the other one is a quasi-continuum approximation. All the results are
compared with numerical computations.

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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: math
21
The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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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: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga