Nonlinear Systems and Complexity

The sine-Gordon Model and its Applications

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

Editors: Cuevas-Maraver, Jesús, Kevrekidis, Panayotis, Williams, Floyd (Eds.)

  • 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
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eBook $79.99
price for USA (gross)
  • ISBN 978-3-319-06722-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-3-319-06721-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 7, 2016
  • ISBN 978-3-319-37989-0
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this book

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.

Reviews

“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)


Table of contents (10 chapters)

  • The sine-Gordon Model: General Background, Physical Motivations, Inverse Scattering, and Solitons

    Malomed, Boris A.

    Pages 1-30

  • sine-Gordon Equation: From Discrete to Continuum

    Chirilus-Bruckner, M. (et al.)

    Pages 31-57

  • Soliton Collisions

    Dmitriev, Sergey V. (et al.)

    Pages 59-85

  • Effects of Radiation on sine-Gordon Coherent Structures in the Continuous and Discrete Cases

    Cisneros-Ake, Luis A. (et al.)

    Pages 87-110

  • Experimental Results for the sine-Gordon Equation in Arrays of Coupled Torsion Pendula

    English, Lars Q.

    Pages 111-129

Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-3-319-06722-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-3-319-06721-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 7, 2016
  • ISBN 978-3-319-37989-0
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
The sine-Gordon Model and its Applications
Book Subtitle
From Pendula and Josephson Junctions to Gravity and High-Energy Physics
Editors
  • Jesús Cuevas-Maraver
  • Panayotis Kevrekidis
  • Floyd Williams
Series Title
Nonlinear Systems and Complexity
Series Volume
10
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-06722-3
DOI
10.1007/978-3-319-06722-3
Hardcover ISBN
978-3-319-06721-6
Softcover ISBN
978-3-319-37989-0
Series ISSN
2195-9994
Edition Number
1
Number of Pages
XIII, 263
Number of Illustrations and Tables
39 b/w illustrations, 35 illustrations in colour
Topics