We analyze the existence and stability of localized solutions in the one-dimensional discrete
nonlinear Schrödinger (DNLS) equation with a combination of competing self-focusing cubic …

In this paper, we study the spectral properties of polarobreathers, that is, breathers carrying
charge in a one-dimensional semiclassical model. We adapt recently developed numerical …

We study the discrete nonlinear Schrödinger lattice model with the onsite nonlinearity of the
general form,| u| 2σu. We systematically verify the conditions for the existence and stability of …

We consider the problem of the continuation with respect to a small parameter ɛ of spatially
localized and time periodic solutions in 1-dimensional dNLS lattices, where ɛ represents the …

The existence of highly localized multisite oscillatory structures (discrete multibreathers) in a
nonlinear Klein-Gordon chain which is characterized by an inverse dispersion law is proven …

The occurrence of single-site or multisite localized vibrational modes, also called discrete
breathers, in two-dimensional hexagonal dusty plasma lattices is investigated. The system is …

A long Josephson junction containing regions with a phase shift of π is considered. By
exploiting the defect modes due to the discontinuities present in the system, it is shown that …