Physics of solitons /
Dauxois, T. 1967-
Physics of solitons / Thierry Dauxois and Michel Peyrard. - Cambridge, UK ; New York : Cambridge University Press, c2006. - xii, 422 p. : ill. ; 26 cm.
Includes bibliographical references (p. 412-421) and index.
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 TOC
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
0521854210 (hbk.) 9780521854214 (hbk.)
2006297519
Solitons.
Physics.
QC174.26.W28 / D3713 2006
530.14 / DAP 2006
Physics of solitons / Thierry Dauxois and Michel Peyrard. - Cambridge, UK ; New York : Cambridge University Press, c2006. - xii, 422 p. : ill. ; 26 cm.
Includes bibliographical references (p. 412-421) and index.
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 TOC
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
0521854210 (hbk.) 9780521854214 (hbk.)
2006297519
Solitons.
Physics.
QC174.26.W28 / D3713 2006
530.14 / DAP 2006