The sine-Gordon Model and its Applications

Beschreibung

The sine-Gordon model is a ubiquitous model of Mathematical Physics with a wide range of applications extending from coupled torsion pendula and Josephson junction arrays to gravitational and high-energy physics models. The purpose of this book is to present a summary of recent developments in this field, incorporating both introductory background material, but also with a strong view towards modern applications, recent experiments, developments regarding the existence, stability, dynamics and asymptotics of nonlinear waves that arise in the model. This book is of particular interest to a wide range of researchers in this field, but serves as an introductory text for young researchers and students  interested in the topic. The book consists of well-selected thematic chapters on diverse mathematical and physical aspects of the equation carefully chosen and assigned.
The sine-Gordon model is a ubiquitous model of Mathematical Physics with a wide range of applications extending from coupled torsion pendula and Josephson junction arrays to gravitational and high-energy physics models. The purpose of this book is to present a summary of recent developments in this field, incorporating both introductory background material, but also with a strong view towards modern applications, recent experiments, developments regarding the existence, stability, dynamics and asymptotics of nonlinear waves that arise in the model. This book is of particular interest to a wide range of researchers in this field, but serves as an introductory text for young researchers and students interested in the topic. The book consists of well-selected thematic chapters on diverse mathematical and physical aspects of the equation carefully chosen and assigned.
Describes a wide range of applications including coupled torsion pendula and Josephson junction arrays and gravitational and high-energy physics Presents the current state of the art in sine-Gordon research Provides quick access to different aspects of the model and its applications Includes a wide range of recent developments, including experimental ones, which no other book on this topic has incorporated in the past 20 years

Autor*in

Jesús Cuevas-Maraver

Themen in »The sine-Gordon Model and its Applications«

Arrays of Coupled Torsion Pendula Black Hole Connections in 2d Dilaton Gravity Desired Solutions to Einstein's Equations Inverse Scattering Josephson-junction Arrays Planar Skyrme-like Model Sine-Gordon Model Soliton Ratchets Solitons Collisions Traveling Kink Problem

Stimmen zu »The sine-Gordon Model and its Applications«

“With the emphasis on the applications, the goal of the authors is to highlight a few important aspects of the sine-Gordon story in the form of concise mini-reviews. … any students and researchers interested in the integrable world may find enough motivations and backround material for further study of the dynamical systems admitting soliton solutions.” (Béla Gábor Pusztai, Acta Scientiarum Mathematicarum, Vol. 82 (1-2), 2016)

Details

Link teilen