This paper addresses the soliton dynamics in a Toda lattice with a randomly distributed chain of masses. Applying the inverse scattering transform we derive effective equations for the decay of the soliton amplitude that ...

We study the bulk and surface nonlinear modes of a modi ed one-dimensional discrete nonlinear Schrödinger (mDNLS) equation. A linear and a modulational stability analysis of the lowest- order modes is carried out. While ...

We analyze discrete surface modes in semi-infinite binary waveguide arrays, which can support simultaneously two types of discrete solitons. We demonstrate that the analysis of linear surface states in such arrays provides ...

We analyze localization of light in honeycomb photonic lattices restricted in one dimension, which can be regarded as an optical analog of graphene nanoribbons. We discuss the effect of lattice topology on the properties ...

We analyze localization of light at the interfaces separating square and hexagonal photonic lattices, as recently realized experimentally for two-dimensional laser-written waveguides in silica glass with self-focusing ...

© 2018 The Author(s). We study the bulk and surface nonlinear modes of a modified one-dimensional discrete nonlinear Schrödinger (mDNLS) equation. A linear and a modulational stability analysis of the lowest-order modes ...

We study light localization at a phase-slip defect created by two semi-infinite mismatched identical arrays of coupled optical waveguides. We demonstrate that the nonlinear defect modes possess the specific properties of ...

We investigate mobility regimes for localized modes in the discrete nonlinear Schr¨odinger (DNLS) equation with the cubic-quintic on-site terms. Using the variational approximation, the largest soliton’s total power admitting ...