Abstract

Solitons are ubiquitous examples of spatial localization, often in movement. They include discrete breathers as envelope solitons. Striking examples in water are tsunamis and bores, but they appear in many other systems as optical waveguides, Josephson junction arrays, Bose-Einstein condensates, matter waves, and biological molecules, to name a few. Solitons appear both in theory, classical and ab-initio nonlinear dynamics, and experiments. They often have long lives, which may hinder heat evacuation in tokamak fusion reactors. Polarons and solectrons consist of a charge bounded to a local deformation and/or localized vibrational modes. They are often described using semi-classical models within the tight-binding approximation. Localization can also be in momentum as qbreathers, or in time, as rogue waves. Metamaterials allow for the engineering of especial properties including solitons. With time modulation, time crystals appear, as proposed by Nobel Laureate Frank Wilczek in 2012. Space-time metamaterials bring about new properties of localized excitations that appear within the frequency or momentum bandgaps. Electrons have also been described as topological solitons with Coulomb and Lorenz forces as a consequence, in this way, expanding the soliton concept to particle physics. This mini-colloquium intends to review recent advances and unify theories and approaches.

Invited speakers

to be announced

Organizers