Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear waves of polarization in two-component Bose-Einstein
  condensates   Waves with different symmetries exist in two-component Bose-Einstein
condensates (BECs) whose dynamics is described by a system of coupled
Gross-Pitaevskii (GP) equations. A first type of waves corresponds to
excitations for which the motion of both components is locally in phase. In the
second type of waves the two components have a counter-phase local motion. In
the case of different values of inter- and intra-component interaction
constants, the long wave-length behavior of these two modes corresponds to two
types of sound with different velocities. In the limit of weak nonlinearity and
small dispersion the first mode is described by the well-known Korteweg-de
Vries (KdV) equation. We show that in the same limit the second mode can be
described by the Gardner (modified KdV) equation, if the intra-component
interaction constants have close enough values. This leads to a rich
phenomenology of nonlinear excitations (solitons, kinks, algebraic solitons,
breathers) which does not exist in the KdV description.

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The categories of this paper are: q-fin
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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: funct-an
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The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom