Interlaced solitons and vortices in coupled DNLS lattices

In the present work, we propose a new set of coherent structures that arise in nonlinear dynamical lattices with more than one components, namely interlaced solitons. These are waveforms in which in the relevant anti-continuum limit, i.e. when the sites are uncoupled, one component has support where the other component does not. We illustrate systematically how one can combine dynamically stable unary patterns to create ones such for the binary case of two-components. In the one-dimensional setting, we provide also a detailed theoretical analysis of the existence and stability of these waveforms, while in higher dimensions, where such analytical computations are far more involved, we resort to corresponding numerical computations. Lastly, we perform direct numerical simulations to showcase how these structures break up, when exponentially or oscillatorily unstable, to structures with a smaller number of participating sites.

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