Interlaced solitons and vortices in coupled DNLS lattices

Abstract

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.

11 pages, 10 figures

References in corpus (3)

• Non-Equilibrium Dynamics and Superfluid Ring Excitations in Binary Bose-Einstein Condensates
• Nonlinear Bloch modes in two-dimensional photonic lattices
• Dark Solitons in Discrete Lattices: Saturable versus Cubic Nonlinearities

Cited by in corpus (6)

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• Dark-Bright Discrete Solitons: A Numerical Study of Existence, Stability and Dynamics
• Composite vortices in nonlinear circular waveguide arrays
• Stability of non-time-reversible phonobreathers
• Unstaggered-staggered solitons on one- and two-dimensional two-component discrete nonlinear Schrödinger lattices
• Intrinsic localized modes in coupled DNLS equations from the anti-continuum limit