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Physics of solitons / Thierry Dauxois and Michel Peyrard.

By: Dauxois, T. (Thierry), 1967-Contributor(s): Peyrard, M. (Michel), 1949-Material type: TextTextLanguage: English Original language: French Publication details: Cambridge, UK ; New York : Cambridge University Press, c2006. Description: xii, 422 p. : ill. ; 26 cmISBN: 0521854210 (hbk.); 9780521854214 (hbk.)Subject(s): Solitons | PhysicsDDC classification: 530.14 LOC classification: QC174.26.W28 | D3713 2006Online resources: WorldCat details
Contents:
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
Summary: 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
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Holdings
Item type Current library Collection Call number Copy number Status Date due Barcode Item holds
Text Text Dr. S. R. Lasker Library, EWU
Reserve Section 		Non-fiction 530.14 DAP 2006 (Browse shelf(Opens below)) C-1 Not For Loan 21888
Text Text Dr. S. R. Lasker Library, EWU
Circulation Section 		Non-fiction 530.14 DAP 2006 (Browse shelf(Opens below)) C-2 Not For Loan 21889
Total holds: 0

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

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

APE

Saifun Momota

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