Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weakly bound solitons and two-soliton molecules in dipolar Bose-Einstein
  condensates   Analytic expressions have been derived for the interaction potential between
dipolar bright solitons and the binding energy of a two-soliton molecule. The
properties of these localized structures are explored with a focus on their
behavior in the weakly bound regime, with a small binding energy. Using the
variational approach a coupled system of ordinary differential equations for
the parameters of a soliton molecule is obtained for the description of their
evolution. Predictions of the model are compared with numerical simulations of
the governing nonlocal Gross-Pitaevskii equation and good qualitative agreement
between them is demonstrated.

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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
14
The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
3
The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
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The categories of this paper are: stat