The sine-Gordon Model and its Applications (eBook)

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

Jesús Cuevas-Maraver, Panayotis G. Kevrekidis, Floyd Williams (Herausgeber)

eBook Download: PDF

2014 | 2014
XIII, 263 Seiten
Springer International Publishing (Verlag)
978-3-319-06722-3 (ISBN)

Infos

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.

Inhalt

The sine-Gordon Model: General Background, Physical Motivations, Inverse Scattering, and Solitons.-  Sine-Gordon Equation: From Discrete to Continuum.- Soliton Collisions.- The Traveling Kink Problem: Radiation Phenomena, Resonances, Pinning and How to Avoid It.- Experimental Results for the sine-Gordon Equation in Arrays of Coupled Torsion Pendula.- Soliton Ratchets in sine-Gordon-like Equations.- The sine-Gordon Equation in Josephson-Junction Arrays.- Some Selected Thoughts Old and New on Soliton - Black Hole Connections in 2d Dilaton Gravity.- Dressing with Control: Using Integrability to Generate Desired Solutions to Einstein's Equations.- A Planar Skyrme-like Model.

Produkt-Details

• Erscheint lt. Verlag: 22.7.2014
• Reihe/Serie: Nonlinear Systems and Complexity
• Reihe/Serie: Nonlinear Systems and Complexity
• Zusatzinfo: XIII, 263 p. 74 illus., 35 illus. in color.
• Verlagsort: Cham
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
• Themenwelt: Technik
• Schlagworte: 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
• ISBN-10: 3-319-06722-2 / 3319067222
• ISBN-13: 978-3-319-06722-3 / 9783319067223