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We consider two-dimensional waveguide arrays with anisotropic couplingcoefficients. We show using numerical and variational calculations that fourstationary soliton types exist: Site-Centered, Bond-Centered, Hybrid-X andHybrid-Y. For the isotropic case the last two modes become identical andequivalent to the known hybrid soliton. With a variational calculation using agaussian trial function and six variational parameters corresponding to thesoliton's position, width, and velocity components, the four stationary solitontypes are reproduced and their equilibrium widths are accounted for accuratelyfor a wide range of anisotropy ratios. We obtained using the variationalcalculation the Peierls-Nabarro potential and barrier heights for the foursoliton types and different anisotropy ratios. We have also obtained a phasediagram showing regions of soliton stability against collapse and subregions ofmobility in terms of the initial kick-in speed and anisotropy ratio. The phasediagram shows that 2D solitons become highly mobile for anisotropy ratioslarger than some critical values that depend on the initial kick-in speed. Thisfact was then exploited to design tracks within the 2D waveguide array alongwhich the soliton can be accelerated and routed. We have calculated the actualwaveguide separations needed to realist the proposed guided trajectories of 2Dsolitons.

Enhanced mobility of discrete solitons in anisotropic two-dimensional waveguide arrays with modulated separations