The versatile soliton:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
Boston [u.a.]
Birkhäuser
2000
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 261 S. Ill., graph. Darst. |
| ISBN: | 3764336358 0817636358 |
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MARC
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| 245 | 1 | 0 | |a The versatile soliton |c Alexandre T. Filippov |
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Record in the Search Index
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| adam_text | Contents
Introduction ix
I An Early History of the Soliton 1
Chapter 1. A Century and a Half Ago 3
Beginning of Wave Theory 8
The Brothers Weber Study Waves in Water 10
From Waves in Water to Waves in Ether 10
Scientific Discoveries — Mainstream and Ahead of Time 12
Science and Society 19
Chapter 2. The Great Solitary Wave of John Scott Russell 22
Before the Fateful Encounter 23
John Russell Meets The Solitary Wave 25
That is Impossible! 27
All the Same it Exists! 29
The Solitary Wave in Solitude 33
Wave or Particle? 34
Chapter 3. Relatives of the Soliton 37
Hermann Helmholtz and the Nerve Pulse 40
Further Adventures with the Nerve Pulse 43
Hermann Helmholtz and Eddies 44
vi Contents
Lord Kelvin s Vortex Atoms 51
Lord Ross and Vortices in Space 53
About Linearity and Nonlinearity 54
II Nonlinear Oscillations and Waves 59
Chapter 4. A Portrait of the Pendulum 61
The Equation of the Pendulum 61
Small Oscillations of the Pendulum 63
Galileo Galilei s Pendulum 64
About Similarity and Dimensions 67
Energy Conservation 70
Language of Phase Diagrams 74
Digression on Celestial Mechanics, Perturbations, and Stability 78
Phase Portraits 79
Phase Portrait of the Pendulum 81
The Soliton Solution of the Pendulum Equation 84
Motions of the Pendulum and the Tame Soliton 86
Concluding Remarks 89
Chapter 5. From Pendulum to Waves and Solitons 94
Waves in Chains of Bound Particles 95
Finding Modes in Chains of Particles Important Mathematical Exercise 100
A Historic Digression. Bernoulli Family and Waves 104
D Alembert s Waves and Debates about them 105
On Discrete and Continuous 108
The Speed of Sound and How it was Measured Ill
Dispersion in Chains of Atoms 114
On How to Perceive the Fourier Expansion 116
Dispersion of Waves on Water Surface 118
On the Speed of a Pack of Waves 121
How Much Energy is Stored in a Wave? 125
III The Present and Future of the Soliton 129
Chapter 6. Frenkel s Solitons 131
What is Theoretical Physics? 131
Ya.I. Frenkel s Ideas 134
Atomic Model of the Moving Dislocation after Frenkel and Kontorova . 135
Interactions Between Dislocations 138
Live Solitonic Atom 139
Dislocations and the Pendulum 141
The Fate of the Waves of Sound 145
Contents vii
Let Us Have a Look at Dislocations 148
Desktop Solitons 150
Other Close Relatives of Dislocations: the Mathematical Branch .... 152
Magnetic Solitons 157
Chapter 7. Rebirth of the Soliton 160
Can Men be on Friendly Terms with the Computer? 162
Many faceted Chaos 166
Enrico Fermi is Astonished by the Computer 171
Russell s Soliton Returns 175
Ocean Solitons: Tsunami, the Tenth Wave 184
Three Solitons 188
Soliton Telegraph 191
The Nerve Pulse — Elementary Particle of Thought 194
Vortices Everywhere 199
Chapter 8. Modern Solitons 204
Vortices in Superfluids 207
Josephson Solitons 212
Elementary Particles and Solitons 218
Appendix I. Lord Kelvin On Ship Waves 232
Appendix II. Skyrme s Soliton 240
Mathematics Appendix 245
Glossary of Names 249
Subject Index 259
|
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| id | DE-604.BV012993493 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:37:23Z |
| institution | BVB |
| isbn | 3764336358 0817636358 |
| language | English Russian |
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| physical | XIV, 261 S. Ill., graph. Darst. |
| publishDate | 2000 |
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| publisher | Birkhäuser |
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| spelling | Filippov, Aleksandr T. Verfasser aut Mnogolikij soliton The versatile soliton Alexandre T. Filippov Boston [u.a.] Birkhäuser 2000 XIV, 261 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Solitons Soliton (DE-588)4135213-0 gnd rswk-swf Soliton (DE-588)4135213-0 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008853647&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Filippov, Aleksandr T. The versatile soliton Solitons Soliton (DE-588)4135213-0 gnd |
| subject_GND | (DE-588)4135213-0 |
| title | The versatile soliton |
| title_alt | Mnogolikij soliton |
| title_auth | The versatile soliton |
| title_exact_search | The versatile soliton |
| title_full | The versatile soliton Alexandre T. Filippov |
| title_fullStr | The versatile soliton Alexandre T. Filippov |
| title_full_unstemmed | The versatile soliton Alexandre T. Filippov |
| title_short | The versatile soliton |
| title_sort | the versatile soliton |
| topic | Solitons Soliton (DE-588)4135213-0 gnd |
| topic_facet | Solitons Soliton |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008853647&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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