The sine-Gordon Model and its Applications [electronic resource] : From Pendula and Josephson Junctions to Gravity and High-Energy Physics / edited by Jesús Cuevas-Maraver, Panayotis G. Kevrekidis, Floyd Williams.Material type: TextLanguage: English Series: Nonlinear Systems and Complexity: 10Publisher: Cham : Springer International Publishing : Imprint: Springer, 2014Description: XIII, 263 p. 74 illus., 35 illus. in color. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783319067223Subject(s): Physics | Mechanics | Physics | Theoretical, Mathematical and Computational Physics | Mathematical Physics | Mechanics | Astrophysics and Astroparticles | Particle and Nuclear PhysicsAdditional physical formats: Printed edition:: No titleDDC classification: 530.1 LOC classification: QC19.2-20.85Online resources: Click here to access online
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.
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.