2D solutions of the hyperbolic discrete nonlinear Schrödinger equation

  title={2D solutions of the hyperbolic discrete nonlinear Schr{\"o}dinger equation},
  author={J. D’Ambroise and P. Kevrekidis},
We derive stationary solutions to the two-dimensional hyperbolic discrete nonlinear Schr\"odinger (HDNLS) equation by starting from the anti-continuum limit and extending solutions to include nearest-neighbor interactions in the coupling parameter. We use pseudo-arclength continuation to capture the relevant branches of solutions and explore their corresponding stability and dynamical properties (i.e., their fate when unstable). We focus on nine primary types of solutions: single site, double… Expand
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