Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Enhanced mobility of discrete solitons in anisotropic two-dimensional
  waveguide arrays with modulated separations   We consider two-dimensional waveguide arrays with anisotropic coupling
coefficients. We show using numerical and variational calculations that four
stationary soliton types exist: Site-Centered, Bond-Centered, Hybrid-X and
Hybrid-Y. For the isotropic case the last two modes become identical and
equivalent to the known hybrid soliton. With a variational calculation using a
gaussian trial function and six variational parameters corresponding to the
soliton's position, width, and velocity components, the four stationary soliton
types are reproduced and their equilibrium widths are accounted for accurately
for a wide range of anisotropy ratios. We obtained using the variational
calculation the Peierls-Nabarro potential and barrier heights for the four
soliton types and different anisotropy ratios. We have also obtained a phase
diagram showing regions of soliton stability against collapse and subregions of
mobility in terms of the initial kick-in speed and anisotropy ratio. The phase
diagram shows that 2D solitons become highly mobile for anisotropy ratios
larger than some critical values that depend on the initial kick-in speed. This
fact was then exploited to design tracks within the 2D waveguide array along
which the soliton can be accelerated and routed. We have calculated the actual
waveguide separations needed to realist the proposed guided trajectories of 2D
solitons.

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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: math
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The categories of this paper are: cs
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: hep-ph
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom