Topological and Non-Topological Solitons in Scalar Field Theories

An introduction to integrable and non-integrable scalar field models, with topological and non-topological soliton solutions

List of contents

Preface; Part I. Kinks and Solitary Waves: 1. Sine-Gordon model; 2. Kinks in the models with polynomial potentials; 3. Non-topological solitons: Korteweg-de-Vries system; Part II. O(3) Sigma Model, Lumps and Baby Skyrmions: 4. O(3) Non-linear sigma model; 5. Baby skyrmions; Part III. Q-balls, Skyrmions and Hopfions: 6. Q-balls; 7. Skyrmions; 8. Hopfions; References; Index.

About the author

Yakov M. Shnir is the Leading Researcher at the Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research in Dubna and he holds a part time position of Professor of Theoretical Physics at the Belarusian State University in Minsk. His research focuses on topological and non-topological solitons in classical field theory in flat and curved space-time. He has been involved in many of the recent developments in this area, in particular in investigating chaotic structures in dynamics of solitons, construction of knotted solutions in the Bose-Einstein condensate and analysis of thermodynamic properties of hairy black holes.

Summary

An introduction to integrable and non-integrable scalar field models, with topological and non-topological soliton solutions. Focusing on both topological and non-topological solitons, this book brings together discussion of solitary waves and construction of soliton solutions and provides a discussion of solitons using simple model examples.

Product details

• Authors: Yakov M Shnir, Yakov M. Shnir, SHNIR YAKOV M.
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 31.07.2018
• EAN: 9781108429917
• ISBN: 978-1-108-42991-7
• No. of pages: 278
• Series: Cambridge Monographs on Mathematical Physics; Cambridge Monographs on Mathem; Cambridge Monographs on Mathematical Physics; Cambridge Monographs on Mathem
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; SCIENCE / Physics / Mathematical & Computational, Mathematical physics, Nonlinear science, Wave mechanics (vibration & acoustics), Wave mechanics (vibration and acoustics)