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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 (Herausgeber)

Buch | Hardcover

XIII, 263 Seiten

2014 | 2014
Springer International Publishing (Verlag)
978-3-319-06721-6 (ISBN)

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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.

From the Contents: 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.

"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)

Erscheint lt. Verlag	4.8.2014
Reihe/Serie	Nonlinear Systems and Complexity
Zusatzinfo	XIII, 263 p. 74 illus., 35 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	584 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
	Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
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	3-319-06721-4 / 3319067214
ISBN-13	978-3-319-06721-6 / 9783319067216
Zustand	Neuware