Nonlinear classical Hamiltonian lattices exhibit generic solutions—discrete breathers. They
are time-periodic and (typically exponentially) localized in space. The lattices have discrete …

It is well known that periodic discrete defect-containing systems support both traveling
waves and vibrational defect-localized modes. It turns out that if a periodic discrete system is …

We examine the role of strong nonlinearity on the topologically robust edge state in a one-
dimensional system. We consider a chain inspired from the Su-Schrieffer-Heeger model but …

The study of granular crystals, which are nonlinear metamaterials that consist of closely
packed arrays of particles that interact elastically, is a vibrant area of research that combines …

We present a progress overview focused on the recent theoretical and experimental
advances in the area of soliton manipulation in optical lattices. Optical lattices offer the …

Lattice solitary traveling waves are nonlinear coherent structures that describe fundamental
mechanisms of energy transport and signal transmission in many physical settings. This …

We investigate the nonlinear wave dynamics of origami-based metamaterials composed of
Tachi-Miura polyhedron (TMP) unit cells. These cells exhibit strain softening behavior under …

The majority of dynamical objects, which demonstrate energy localization in nonlinear
lattices, represent quasibreathers rather than strictly time-periodic discrete breathers since …

Multiplicity results of breathers for the discrete nonlinear Schrödinger equations with unbounded
potentials Page 1 SCIENCE CHINA Mathematics . ARTICLES . April 2015 Vol.58 No.4: 781–790 …

In this paper, a periodic difference equation with saturable nonlinearity is considered. Using
the linking theorem in combination with periodic approximations, we establish sufficient …