Physics of solitons

List of Portraits Preface Part I. Different Classes of Solitons: Introduction 1. Nontopological solitons: the Korteweg-de Vries equation 2. Topological soltitons: sine-Gordon equation 3. Envelope solitons and nonlinear localisation: the nonlinear Schroedinger equation 4. The modelling process: ion acoustic waves in a plasma Part II. Mathematical Methods for the Study of Solitons: Introduction 5. Linearisation around the soliton solution 6. Collective coordinate method 7. The inverse-scattering transform Part III. Examples in Solid State and Atomic Physics: Introduction 8. The Ferm-Pasta-Ulam problem 9. A simple model for dislocations in crystals 10. Ferroelectric domain walls 11. Incommensurate phases 12. Solitons in magnetic systems 13. Solitons in Conducting polymers 14. Solitons in Bose-Einstein condensates Part IV. Nonlinear Excitations in Biological Molecules: Introduction 15. Energy localisation and transfer in proteins 16. Nonlinear dynamics and statistical physics of DNA Conclusion: Physical solitons: do they exist? Part V. Appendices: A. Derivation of the KdV equation for surface hydrodynamic waves B. Mechanics of a continuous medium C. Coherent states of an harmonic oscillator References Index.

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