Vassilis M. Rothos

Ground states and periodic-to-localized convergence in two-dimensional saturable discrete nonlinear Schrödinger equations

We study a two-dimensional discrete nonlinear Schrödinger equation with saturable nonlinearity on the lattice Z2. Using a variational approach based on the Nehari manifold, we establish the existence of nontrivial periodic ground states on finite lattices and establish the existe...