Waves called solitons: concepts and experiments
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1994
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 227 - 233 |
| Physical Description: | XIII, 236 S. Ill., graph. Darst. |
| ISBN: | 3540570004 0387570004 |
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MARC
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| 100 | 1 | |a Remoissenet, Michel |d 1935- |e Verfasser |0 (DE-588)121031543 |4 aut | |
| 245 | 1 | 0 | |a Waves called solitons |b concepts and experiments |c M. Remoissenet |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1994 | |
| 300 | |a XIII, 236 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Literaturverz. S. 227 - 233 | ||
| 650 | 0 | 7 | |a Soliton |0 (DE-588)4135213-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Soliton |0 (DE-588)4135213-0 |D s |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-006187186 | |
Record in the Search Index
| _version_ | 1807502996984037376 |
|---|---|
| adam_text |
CONTENTS
1
BASIC
CONCEPTS
AND
THE
DISCOVERY
OF
SOLITONS
.
1
1.1
A
LOOK
AT
LINEAR
AND
NONLINEAR
SIGNATURES
.
1
1.2
DISCOVERY
OF
THE
SOLITARY
WAVE
.
3
1.3
DISCOVERY
OF
THE
SOLITON
.
6
1.4
THE
SOLITON
CONCEPT
IN
PHYSICS
.
10
2
LINEAR
WAVES
IN
ELECTRICAL
TRANSMISSION
LINES
.
11
2.1
LINEAR
NONDISPERSIVE
WAVES
.
11
2.2
SINUSOIDAL-WAVE
CHARACTERISTICS
.
14
2.2.1
WAVE
ENERGY
DENSITY
AND
POWER
.
17
2.3
THE
GROUP-VELOCITY
CONCEPT
.
18
2.4
LINEAR
DISPERSIVE
WAVES
.
20
2.4.1
DISPERSIVE
TRANSMISSION
LINES
.
20
2.4.2
ELECTRICAL
NETWORK
.
22
2.4.3
THE
WEAKLY
DISPERSIVE
LIMIT
.
25
2.5
EVOLUTION
OF
A
WAVEPACKET
ENVELOPE
.
2
6
2.6
DISPERSION-INDUCED
WAVEPACKET
BROADENING
.
3
0
APPENDIX
2A.
GENERAL
SOLUTION
FOR
THE
ENVELOPE
EVOLUTION
.
3
3
APPENDIX
2B.
EVOLUTION
OF
THE
ENVELOPE
OF
A
GAUSSIAN
WAVEPACKET
.
3
4
3
SOLITONS
IN
NONLINEAR
TRANSMISSION
LINES
.
3
6
3.1
NONLINEAR
AND
DISPERSIONLESS
TRANSMISSION
LINES
.
3
6
3.2
COMBINED
EFFECTS
OF
DISPERSION
AND
NONLINEARITY
.
40
3.3
ELECTRICAL
SOLITARY
WAVES
AND
PULSE
SOLITONS
.
41
3.4
LABORATORY
EXPERIMENTS
ON
PULSE
SOLITONS
.
45
3.4.1
EXPERIMENTAL
ARRANGEMENT
.
45
3.4.2
SERIES
OF
EXPERIMENTS
.
47
3.5
EXPERIMENTS
WITH
A
POCKET
VERSION
OF
THE
ELECTRICAL
NETWORK
.
51
APPENDIX
3A.
CALCULATION
OF
THE
EFFECT
OF
NONLINEARITY
ON
WAVE
PROPAGATION
.
5
5
APPENDIX
3B.
DERIVATION
OF
THE
SOLITARY-WAVE
SOLUTION
.
5
7
APPENDIX
3C.
DERIVATION
OF
THE
KDV
EQUATION
AND
ITS
SOLITON
SOLUTION
5
9
APPENDIX
3D.
DETAILS
OF
THE
ELECTRONICS:
SWITCH
DRIVER
AND
PULSE
GENERATOR
.
61
4
MORE
ON
TRANSMISSION-LINE
SOLITONS
.
62
4.1
LATTICE
SOLITONS
IN
THE
ELECTRICAL
TODA
NETWORK
.
62
4.1.1
LATTICE
SOLITONS
.
64
4.2
EXPERIMENTS
ON
LATTICE
SOLITONS
.
65
4.2.1
COLLISION
OF
TWO
LATTICE
SOLITONS
MOVING
IN
OPPOSITE
DIRECTIONS
.
67
4.2.2
THE
FERMI-PASTA-ULAM
RECURRENCE
PHENOMENON
.
67
4.3
PERIODIC
WAVETRAINS
IN
TRANSMISSION
LINES
.
68
4.3.1
THE
SOLITARY
WAVE
LIMIT
AND
SINUSOIDAL
LIMIT
OF
THE
CNOIDAL
WAVE
.
69
4.4
MODULATED
WAVES
AND
THE
NONLINEAR
DISPERSION
RELATION
.
69
4.5
ENVELOPE
AND
HOLE
SOLITONS
.
7
1
4.5.1
EXPERIMENTS
ON
ENVELOPE
AND
HOLE
SOLITONS
.
7
3
4.6
MODULATIONAL
INSTABILITY
.
74
APPENDIX
4A.
PERIODIC
WAVETRAIN
SOLUTIONS
.
7
8
APPENDIX
4B.
THE
JACOBI
ELLIPTIC
FUNCTIONS
.
80
4B.1
ASYMPTOTIC
LIMITS
.
81
4B.2
DERIVATIVES
AND INTEGRALS
.
83
APPENDIX
4C.
ENVELOPE
AND
HOLE
SOLITON
SOLUTIONS
.
8
3
5
HYDRODYNAMIC
SOLITONS
.
8
8
5.1
EQUATIONS
FOR
SURFACE
WATER
WAVES
.
8
8
5.1.1
REDUCED
FLUID
EQUATIONS
.
89
5.2
SMALL-AMPLITUDE
SURFACE GRAVITY
WAVES
.
90
5.3
LINEAR
SHALLOW
AND
DEEP-WATER
WAVES
.
93
5.3.1
SHALLOW-WATER
WAVES
.
93
5.3.2
DEEP-WATER
WAVES
.
94
5.4
SURFACE-TENSION
EFFECTS:
CAPILLARY
WAVES
.
95
5.5
SOLITONS
IN
SHALLOW
WATER
.
97
X
5.6
EXPERIMENTS
ON
SOLITONS
IN
SHALLOW
WATER
.
100
5.6.1
EXPERIMENTAL
ARRANGEMENT
.
101
5.6.2
EXPERIMENTS
.
101
5.7
STOKES
WAVES
AND
SOLITON
WAVEPACKETS
IN
DEEP
WATER
.
105
5.7.1
STOKES
WAVES
.
105
5.7.2
SOLITON
WAVEPACKETS
.
106
5.7.3
EXPERIMENTS
ON
SOLITONS
IN
DEEP
WATER
.
107
APPENDIX
5A.
BASIC
EQUATIONS
OF
FLUID
MECHANICS
.
108
5A.1
CONSERVATION
OF
MASS
.
108
5A.2
CONSERVATION
OF
MOMENTUM
.
109
5A.3
CONSERVATION
OF
ENTROPY
.
110
APPENDIX5B.
BASIC
DEFINITIONS
AND
APPROXIMATIONS
.
ILL
5B.1
STREAMLINE
.
ILL
5B.2
IRROTATIONAL
AND
INCOMPRESSIBLE
FLOW
.
112
5B.3
TWO-DIMENSIONAL
FLOW:
THE
STREAM
FUNCTION
.
112
5B.4
BOUNDARY
CONDITIONS
.
114
5B.5
SURFACE
TENSION
.
115
APPENDIX
5C.
DERIVATION
OF
THE
KDV
EQUATION:
THE
PERTURBATIVE
APPROACH
.
116
APPENDIX
5D.
DERIVATION
OF
THE
NONLINEAR
DISPERSION
RELATION
.
120
APPENDIX
5E.
DETAILS
OF
THE
PROBES
AND
THE
ELECTRONICS
.
122
6
MECHANICAL
SOLITONS
.
123
6.1
AN
EXPERIMENTAL
MECHANICAL
TRANSMISSSION
LINE
.
123
6.1.1
GENERAL
DESCRIPTION
OF
THE
LINE
.
123
6.1.2
CONSTRUCTION
OF
THE
LINE
.
125
6.2
MECHANICAL
KINK
SOLITONS
.
125
6.2.1
LINEAR
WAVES
IN
THE
LOW-AMPLITUDE
LIMIT
.
126
6.2.2
LARGE
AMPLITUDE
WAVES:
KINK
SOLITONS
.
127
6.2.3
LORENTZ
CONTRACTION
OF
THE
KINK
SOLITONS
.
129
6.3
PARTICLE
PROPERTIES
OF
THE
KINK
SOLITONS
.
131
6.4
KINK-KINK
AND
KINK-ANTIKINK
COLLISIONS
.
132
6.5
BREATHER
SOLITONS
.
134
6.6
EXPERIMENTS
ON
KINKS
AND
BREATHERS
.
136
6.7
HELICAL
WAVES,
OR
KINK
ARRAY
.
137
6.8
DISSIPATIVE
EFFECTS
.
139
XI
6.9
ENVELOPE
SOLITONS
.
141
APPENDIX
6A.
KINK
SOLITON
AND
ANTIKINK
SOLITON
SOLUTIONS
.
143
APPENDIX
6B.
CALCULATION
OF
THE
ENERGY
AND
THE
MASS
OF
A
KINK
SOLITON
.
144
APPENDIX
6C.
SOLUTIONS
FOR
KINK-KINK
AND
KINK-ANTIKINK
COLLISIONS,
AND
BREATHERS
.
145
6C.1
KINK
SOLUTIONS
.
147
6C.2
KINK-KINK
COLLISIONS
.
147
6C.3
BREATHER
SOLITONS
.
148
6C.4
KINK-ANTIKINK
COLLISION
.
149
APPENDIX
6D.
SOLUTIONS
FOR
HELICAL
WAVES
.
150
7
FLUXONS
IN
JOSEPHSON
TRANSMISSION
LINES
.
152
7.1
THE
JOSEPHSON
EFFECT
IN
A
SHORT
JUNCTION
.
152
7.1.1
THE
SMALL
JOSEPHSON
JUNCTION
.
153
7.2
THE
LONG
JOSEPHSON
JUNCTION
AS
A
TRANSMISSION
LINE
.
155
7.3
DISSIPATIVE
EFFECTS
.
159
7.4
EXPERIMENTAL
OBSERVATIONS
OF
FLUXONS
.
161
7.4.1
INDIRECT
OBSERVATION
.
161
7.4.2
DIRECT
OBSERVATION
.
162
APPENDIX
7A.
JOSEPHSON
EQUATIONS
.
164
8
SOLITONS
IN
OPTICAL
FIBERS
.
166
8.1
OPTICAL-FIBER
CHARACTERISTICS
.
166
8.1.1
LINEAR
DISPERSIVE
EFFECTS
.
167
8.1.2
NONLINEAR
EFFECTS
.
169
8.1.3
EFFECT
OF
LOSSES
.
170
8.2
WAVE-ENVELOPE
PROPAGATION
.
171
8.3
BRIGHT
AND
DARK
SOLITONS
.
173
8.3.1
BRIGHT
SOLITONS
.
174
8.3.2
DARK
SOLITONS
.
176
8.4
EXPERIMENTS
ON
OPTICAL
SOLITONS
.
177
8.5
PERTURBATIONS
AND
SOLITON
COMMUNICATIONS
.
179
8.5.1
EFFECT
OF
LOSSES
.
179
8.5.2
SOLITON
COMMUNICATIONS
.
180
APPENDIX
8A.
ELECTROMAGNETIC
EQUATIONS
IN
A
NONLINEAR
MEDIUM
.
181
XII
9
THE
SOLITON
CONCEPT
IN
LATTICE
DYNAMICS
.
183
9.1
THE
ONE-DIMENSIONAL
LATTICE
IN
THE
CONTINUUM
APPROXIMATION
.
183
9.2
THE
QUASI-CONTINUUM
APPROXIMATION
FOR
THE
MONATOMIC
LATTICE
.
188
9.3
THE
TODA
LATTICE
.
190
9.4
ENVELOPE
SOLITONS
AND
LOCALIZED
MODES
.
191
9.5
THE
ONE-DIMENSIONAL
LATTICE
WITH
TRANSVERSE
NONLINEAR
MODES
.
193
9.6
MOTION
OF
DISLOCATIONS
IN
A
ONE-DIMENSIONAL
CRYSTAL
.
195
9.7
THE
ONE-DIMENSIONAL
LATTICE
MODEL
FOR
STRUCTURAL
PHASE
TRANSITION
.
197
9.7.1
THE
ORDER-DISORDER
TRANSITION
.
199
9.7.2
THE
DISPLACIVE
TRANSITION
.
200
APPENDIX
9
A.
SOLUTIONS
FOR
TRANSVERSE
DISPLACEMENTS
.
202
APPENDIX
9B.
KINK
SOLITON
OR
DOMAIN-WALL
SOLUTIONS
.
204
10
A
LOOK
AT
SOME
REMARKABLE
MATHEMATICAL
TECHNIQUES
.
205
10.1
LAX
EQUATIONS
AND
THE
INVERSE
SCATTERING
TRANSFORM
METHOD
.
205
10.1.1
THE
FOURIER-TRANSFORM
METHOD
FOR
LINEAR
EQUATIONS
.
206
10.1.2
THE
LAX
PAIR
FOR
NONLINEAR
EVOLUTION
EQUATIONS
.
207
10.2
THE
KDV
EQUATION
AND THE
SPECTRAL
PROBLEM
.
209
10.3
TIME
EVOLUTION
OF
THE
SCATTERING
DATA
.
210
10.3.1
DISCRETE EIGENVALUES
.
210
10.3.2
CONTINUOUS
SPECTRUM
.
212
10.4
THE
INVERSE
SCATTERING
PROBLEM
.
213
10.4.1
DISCRETE
SPECTRUM
ONLY:
SOLITON
SOLUTION
.
214
10.5
RESPONSE
OF
THE
KDV
MODEL
TO
AN
INITIAL
DISTURBANCE
.
216
10.5.1
THE
DELTA
FUNCTION
POTENTIAL
.
216
10.5.2
THE
RECTANGULAR
POTENTIAL
WELL
.
217
10.5.3
THE
SECH-SQUARED
POTENTIAL
WELL
.
217
10.6
THE
INVERSE
SCATTERING
TRANSFORM
FOR
THE
NLS
EQUATION
.
218
10.7
THE
HIROTA
METHOD
FOR
THE
KDV
EQUATION
.
219
10.8
THE
HIROTA
METHOD
FOR
THE
NLS
EQUATION
.
223
REFERENCES
.
227
SUBJECT
INDEX
.
235
XIII |
| any_adam_object | 1 |
| author | Remoissenet, Michel 1935- |
| author_GND | (DE-588)121031543 |
| author_facet | Remoissenet, Michel 1935- |
| author_role | aut |
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| building | Verbundindex |
| bvnumber | BV009297570 |
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| discipline | Physik |
| format | Book |
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| id | DE-604.BV009297570 |
| illustrated | Illustrated |
| indexdate | 2024-08-16T00:46:24Z |
| institution | BVB |
| isbn | 3540570004 0387570004 |
| language | English |
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| owner | DE-898 DE-BY-UBR DE-355 DE-BY-UBR DE-29 DE-20 DE-384 DE-703 DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-83 DE-11 DE-188 |
| owner_facet | DE-898 DE-BY-UBR DE-355 DE-BY-UBR DE-29 DE-20 DE-384 DE-703 DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-83 DE-11 DE-188 |
| physical | XIII, 236 S. Ill., graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Springer |
| record_format | marc |
| spelling | Remoissenet, Michel 1935- Verfasser (DE-588)121031543 aut Waves called solitons concepts and experiments M. Remoissenet Berlin [u.a.] Springer 1994 XIII, 236 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 227 - 233 Soliton (DE-588)4135213-0 gnd rswk-swf Soliton (DE-588)4135213-0 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006187186&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Remoissenet, Michel 1935- Waves called solitons concepts and experiments Soliton (DE-588)4135213-0 gnd |
| subject_GND | (DE-588)4135213-0 |
| title | Waves called solitons concepts and experiments |
| title_auth | Waves called solitons concepts and experiments |
| title_exact_search | Waves called solitons concepts and experiments |
| title_full | Waves called solitons concepts and experiments M. Remoissenet |
| title_fullStr | Waves called solitons concepts and experiments M. Remoissenet |
| title_full_unstemmed | Waves called solitons concepts and experiments M. Remoissenet |
| title_short | Waves called solitons |
| title_sort | waves called solitons concepts and experiments |
| title_sub | concepts and experiments |
| topic | Soliton (DE-588)4135213-0 gnd |
| topic_facet | Soliton |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006187186&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT remoissenetmichel wavescalledsolitonsconceptsandexperiments |