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This book presents an overview of the most recent advances in
nonlinear science. It provides a unified view of nonlinear
properties in many different systems and highlights many new
developments. While volume 1 concentrates on mathematical theory
and computational techniques and challenges, which are essential
for the study of nonlinear science, this second volume deals with
nonlinear excitations in several fields. These excitations can be
localized and transport energy and matter in the form of breathers,
solitons, kinks or quodons with very different characteristics,
which are discussed in the book. They can also transport electric
charge, in which case they are known as polarobreathers or
solectrons. Nonlinear excitations can influence function and
structure in biology, as for example, protein folding. In crystals
and other condensed matter, they can modify transport properties,
reaction kinetics and interact with defects. There are also
engineering applications in electric lattices, Josephson junction
arrays, waveguide arrays, photonic crystals and optical fibers.
Nonlinear excitations are inherent to Bose-Einstein Condensates,
constituting an excellent benchmark for testing their properties
and providing a pathway for future discoveries in fundamental
physics.
This book presents an overview of the most recent advances in
nonlinear science. It provides a unified view of nonlinear
properties in many different systems and highlights many new
developments. While volume 1 concentrates on mathematical theory
and computational techniques and challenges, which are essential
for the study of nonlinear science, this second volume deals with
nonlinear excitations in several fields. These excitations can be
localized and transport energy and matter in the form of breathers,
solitons, kinks or quodons with very different characteristics,
which are discussed in the book. They can also transport electric
charge, in which case they are known as polarobreathers or
solectrons. Nonlinear excitations can influence function and
structure in biology, as for example, protein folding. In crystals
and other condensed matter, they can modify transport properties,
reaction kinetics and interact with defects. There are also
engineering applications in electric lattices, Josephson junction
arrays, waveguide arrays, photonic crystals and optical fibers.
Nonlinear excitations are inherent to Bose-Einstein Condensates,
constituting an excellent benchmark for testing their properties
and providing a pathway for future discoveries in fundamental
physics.
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