Rodrigo A. Vicencio, Magnus Johansson
We consider a model for a two-dimensional Kagome-lattice with defocusing nonlinearity, and show that families of localized discrete solitons may bifurcate from localized linear modes of the flat band with zero power threshold. Such fundamental nonlinear modes exist for arbitrarily strong nonlinearity, and correspond to unique configurations in the limit of zero inter-site coupling. We analyze their linear stability, and show that by choosing dynamical perturbations close to soft internal modes, a switching between solitons of different families may be obtained. In a window of small values of norm, a symmetry-broken localized state is found as the lowest-energy state.
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http://arxiv.org/abs/1301.2972
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