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The sine-Gordon Model and its Applications

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

Specificaties
Gebonden, 263 blz. | Engels
Springer International Publishing | 2014e druk, 2014
ISBN13: 9783319067216
Rubricering
Springer International Publishing 2014e druk, 2014 9783319067216
Onderdeel van serie Nonlinear Systems and Complexity
€ 120,99
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Samenvatting

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.

Specificaties

ISBN13:9783319067216
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:263
Uitgever:Springer International Publishing
Druk:2014

Inhoudsopgave

<p>The sine-Gordon Model: General Background, Physical Motivations, Inverse Scattering, and Solitons.-&nbsp; 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.</p>
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        The sine-Gordon Model and its Applications