TY - BOOK AU - Dauxois,T. AU - Peyrard,M. TI - Physics of solitons SN - 0521854210 (hbk.) AV - QC174.26.W28 D3713 2006 U1 - 530.14 22 PY - 2006/// CY - Cambridge, UK, New York PB - Cambridge University Press KW - Solitons KW - Physics N1 - Includes bibliographical references (p. 412-421) and index; TOC; Pt. I. Different classes of solitons -- 1. Nontopological solitons : the Korteweg-de Vries equation -- 2. Topological solitons : Sine-Gordon equation -- 3. Envelope solitons and nonlinear localisation : the nonlinear Schrodinger equation -- 4. The modelling process : ion acoustic waves in a plasma -- Pt. II. Mathematical methods for the study of solitons -- 5. Linearisation around the soliton solution -- 6. Collective-coordinate method -- 7. The inverse-scattering transform -- Pt. III. Examples in solid state and atomic physics -- 8. The Fermi-Pasta-Ulam problem -- 9. A simple model for dislocations in crystals -- 10. Ferroelectric domain walls -- 11. Incommensurate phases -- 12. Solitons in magnetic systems; APE N2 - Summary: "In addition to knowledge on the physics of solitons, the authors aim to familiarise the reader with a new way of thinking in physics. Instead of linear approximations followed by a perturbative approach to nonlinearities, it is often more efficient to treat nonlinearities intrinsically, and to base the analysis on one of the soliton equations introduced in this book. This modelling process is stressed throughout Read more UR - https://www.worldcat.org/title/physics-of-solitons/oclc/61757137&referer=brief_results ER -