PHYSICS OF SOLITONS
Ouvrage 9780521854214 : PHYSICS OF SOLITONS
• Physical aspects of solitons explained
• All statements are justified from basic physical principles
• Includes numerous applications that have not previously been presented
Contents
Introduction; Part I. Different Classes of Solitons: 1. The Korteweg-de
Vries equation; 2. Sine-Gordon equation; 3. The nonlinear Schrödinger
equation; 4. Modelling: waves in a plasma; Part II. Mathematical Methods
for the Study of Solitons: 5. Linearisation around a soliton; 6.
Collective-coordinate method; 7. The inverse-scattering transform; Part
III. Examples in Solid State and Atomic Physics: 8. The Fermi-Pasta-Ulam
problem; 9. A simple model for dislocations; 10. Ferroelectric domain
walls; 11. Incommensurate phases; 12. Solitons in magnetic systems; 13.
Conducting polymers; 14. Solitons in Bose-Einstein condensates; Part IV.
Nonlinear Excitations in Biological Molecules: 15. Energy localisation
in proteins; 16. Nonlinear dynamics of DNA; Conclusion: Physical
solitons: do they exist?; Part V. Appendices: A. Hydrodynamic waves; B.
Mechanics of a continuous medium; C. Coherent states of an harmonic
oscillator; Table of portraits; Bibliography; Index.
Auteur : DAUXOIS
Editeur : CAMBRIDGE UNIVERSITY PRESS
Nombre de pages : 432
Date de publication : 02 2006
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