Dedicated to a broad audience and scientists, this new-generation, easy-to-read, pictorial, interactive book uses beautiful photography, video channel, and computer scripts in R and Python to demonstrate existing and explore new solitons – the magnificent and versatile energy concentration phenomenon of nature. With 200 images and videos collected around the world and on magnificent Australian beaches, we describe captivating stand-alone ocean solitons capable of travelling hundreds of miles uninterrupted. Along with scary tsunamis, the tricky solitonic bores propagating upstream narrow river channels may cause disasters for coastal cities. Sudden killer rogue waves endanger even large ships. Powerful tornadoes, surfing tubes, whirlpools and rotating galaxies are solitonic vortices. Unique videos of breathers and soliton envelope waves, with legendary 'Ninth Wave' in the middle, are commented by some legendary scientists. Beautiful photography of square grid waves confirms tendency of nature to produce multi-dimensional formations. Solitonic dislocations and defects are widespread in metal shapes around us. Solitonic energy localization effects appear in swing movements of humans perfected them in many sports and dances. We also explore new solitonic hypothesis and theories. Geosolitons may have played an important role in formation of mountain ranges and sedimentary rocks. Using solitonic functions for heart blood pressure pulses may lead to new-generation devices. Solitonic dislocation and stability effects may exist in behaviour of correlated financial markets. New class of atomic solitons can be used to describe Higgs boson (‘the god particle’) fields, spacetime quanta and other fundamental building blocks of nature. Readers are welcomed to subscribe and provide own videos to our dedicated video channel and website www.solitonnature.com.

This review volume on topological and nontopological chiral solitons presents a global view on the current developments of this field in particle and nuclear physics. The book addresses problems in quantization, restoration of translational and rotational symmetry, and the field theoretical approach to solitons which are common problems in the field of solitons. Primarily aimed for graduate students and the novice in the field, the collected articless cover a broad spectrum of topics in formalism as well as phenomenology.

Optical microcavities are structures that enable confinement of light to microscale volumes. The universal importance of these structures has made them indispensable to a wide range of fields. This important book describes the many applications and the related physics, providing both a review and a tutorial of key subjects by leading researchers from each field. The topics include cavity QED and quantum information, nanophotonics and nanostructure interactions, wavelength switching and modulation in optical communications, optical chaos and biosensors.

Glimpses of Soliton Theory addresses some of the hidden mathematical connections in soliton theory which have been revealed over the last half-century. It aims to convince the reader that, like the mirrors and hidden pockets used by magicians, the underlying algebro-geometric structure of soliton equations provides an elegant and surprisingly simple explanation of something seemingly miraculous. --

This book highlights recent advances of optical spatial solitons in photorefractive materials ranging broadly from the coupling, modulation instability, effect of pyroelectricity, and the stability of photorefractive solitons, among other topics. Photorefractive solitons have been at the forefront of research because of their formation at low laser powers and unique saturable nonlinearity present in photorefractive materials which supports solitons in (2+1) D. There has been a spurt in research on photorefractive solitons recently, which has contributed to a greater understanding of the theoretical foundation of photorefractive solitons as also of their various interesting and practical applications. The book elucidates the diversity of photorefractive solitons and provides a good resource for students, researchers, and professionals in the area of nonlinear optics. ​

The collection of papers forming this volume is intended to provide a deeper study of some mathematical and physical subjects which are at the core of recent developments in the natural and living sciences. The book explores some far-reaching interfaces where mathematics, theoretical physics, and natural sciences seem to interact profoundly. The main goal is to show that an accomplished movement of geometrisation has enabled the discovery of a great variety of amazing structures and behaviors in physical reality and in living matter. The diverse group of expert mathematicians, physicists and natural scientists present numerous new results and original ideas, methods and techniques. Both academic and interdisciplinary, the book investigates a number of important connections between mathematics, theoretical physics and natural sciences including biology.

This textbook is an introduction to the theory of solitons in the physical sciences.

In this engaging book, the concept of the soliton is traced from the beginning of the last century to modern times with its recent applications.

Topological solitons occur in many nonlinear classical field theories. They are stable, particle-like objects, with finite mass and a smooth structure. Examples are monopoles and Skyrmions, Ginzburg-Landau vortices and sigma-model lumps, and Yang-Mills instantons. This book is a comprehensive survey of static topological solitons and their dynamical interactions. Particular emphasis is placed on the solitons which satisfy first-order Bogomolny equations. For these, the soliton dynamics can be investigated by finding the geodesics on the moduli space of static multi-soliton solutions. Remarkable scattering processes can be understood this way. The book starts with an introduction to classical field theory, and a survey of several mathematical techniques useful for understanding many types of topological soliton. Subsequent chapters explore key examples of solitons in one, two, three and four dimensions. The final chapter discusses the unstable sphaleron solutions which exist in several field theories.

Recent experimental and theoretical progress has elucidated the tunable crossover, in ultracold Fermi gases, from BCS-type superconductors to BEC-type superfluids. The BCS-BEC Crossover and the Unitary Fermi Gas is a collaborative effort by leading international experts to provide an up-to-date introduction and a comprehensive overview of current research in this fast-moving field. It is now understood that the unitary regime that lies right in the middle of the crossover has remarkable universal properties, arising from scale invariance, and has connections with fields as diverse as nuclear physics and string theory. This volume will serve as a first point of reference for active researchers in the field, and will benefit the many non-specialists and graduate students who require a self-contained, approachable exposition of the subject matter.