Recent progress on nonlinear properties of parity-time (PT)-symmetric systems is
comprehensively reviewed in this article. PT symmetry started out in non-Hermitian quantum …

Modern nanotechnology allows one to scale down various important devices (sensors,
chips, fibers, etc.) and thus opens up new horizons for their applications. The efficiency of …

The current research into solitons and their use in fiber optic communications is very
important to the future of communications. Since the advent of computer networking and …

In the third edition the presentation of new topics has been deliberately kept simple for
pedagogical purposes. Chapter 1 was completed by references to the tidal bore and …

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

Theoretical physics deals with physical models. The main requirements for a good physical
model are simplicity and universality. Universal models which can be applied to describe a …

Nonlinear classical Hamiltonian lattices exhibit generic solutions in the form of discrete
breathers. These solutions are time-periodic and (typically exponentially) localized in space …

An overview of the dynamics of one of the fundamental models of low-dimensional nonlinear
physics, the Frenkel–Kontorova (FK) model, is presented. In its simplest form, the FK model …

It has been proved by the principle of anti-integrable limit (renamed here anti-continuous
limit) and the implicit function theorem that, under rather weak hypotheses, there exist …

In 438 alphabetically-arranged essays, this work provides a useful overview of the core
mathematical background for nonlinear science, as well as its applications to key problems …