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The sine-Gordon Model and its Applications

From Pendula and Josephson Junctions to Gravity and High-Energy Physics

  • Jesús Cuevas-Maraver
  • Panayotis G. Kevrekidis
  • Floyd Williams

Part of the Nonlinear Systems and Complexity book series (NSCH, volume 10)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. M. Chirilus-Bruckner, C. Chong, J. Cuevas-Maraver, P. G. Kevrekidis
    Pages 31-57
  3. Sergey V. Dmitriev, Panayotis G. Kevrekidis
    Pages 59-85
  4. Niurka R. Quintero
    Pages 131-154
  5. Juan J. Mazo, Alexey V. Ustinov
    Pages 155-175
  6. Ramón J. Cova
    Pages 233-260
  7. Back Matter
    Pages 261-263

About this book

Introduction

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.

Keywords

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

Editors and affiliations

  • Jesús Cuevas-Maraver
    • 1
  • Panayotis G. Kevrekidis
    • 2
  • Floyd Williams
    • 3
  1. 1.Departamento de Físíca Aplicada IUniversity of SevillaSevillaSpain
  2. 2.Mathematics and StatisticsUniversity of MassachusettsAmherstUSA
  3. 3.Mathematics and StatisticsUniversity of MassachusettsAmherstUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-06722-3
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-06721-6
  • Online ISBN 978-3-319-06722-3
  • Series Print ISSN 2195-9994
  • Series Online ISSN 2196-0003
  • Buy this book on publisher's site