Nonlinear waves in waveguides: with stratification
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
Berlin u.a.
Springer
1991
|
| Series: | Research reports in physics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 151 - 160 |
| Physical Description: | IX, 163 S. |
| ISBN: | 3540521496 0387521496 |
Staff View
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| 100 | 1 | |a Leble, Sergej B. |d 1945- |e Verfasser |0 (DE-588)112827896 |4 aut | |
| 245 | 1 | 0 | |a Nonlinear waves in waveguides |b with stratification |c Sergei B. Leble |
| 264 | 1 | |a Berlin u.a. |b Springer |c 1991 | |
| 300 | |a IX, 163 S. | ||
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| 490 | 0 | |a Research reports in physics | |
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| 650 | 4 | |a Nonlinear waves | |
| 650 | 4 | |a Stratified flow | |
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Record in the Search Index
| _version_ | 1804118552647565312 |
|---|---|
| adam_text | IMAGE 1
SERGEI *. LEBLE
NONLINEAR WAVES
IN WAVEGUIDES WITH STRATIFICATION
WITH 6 FIGURES
SPRINGER-VERLAG BERLIN HEIDELBERG NEW YORK LONDON PARIS TOKYO HONG KONG
BARCELONA BUDAPEST
IMAGE 2
CONTENTS
1. INTRODUCTION 1
1.1 GENERAL REMARKS 1
1.2 OVERVIEW 8
2. THE DISCRIMINATION AND INTERACTION OF HYDRODYNAMICAL WAVES OF
DIFFERENT TYPES 12
2.1 HYDRODYNAMIC WAVE EQUATIONS IN A THREE-DIMENSIONAL STRATIFIED MEDIUM
12
2.1.1 FUNDAMENTALS 12
2.1.2 ATMOSPHERIC WAVES: DISPERSION AND POLARIZATION . . .. 15 2.2
PROJECTION OPERATORS ON SUBSPACES OF WAVES 19
2.2.1 DETERMINATION OF WAVE TYPE 19
2.2.2 PROJECTION OPERATORS IN GEOPHYSICAL HYDRODYNAMICS . 19 2.2.3
PROJECTION OPERATORS FOR POINCARE AND ROSSBY WAVES . 21 2.3 INTERACTION
OF SURFACE POINCARE AND ROSSBY WAVES 24
2.4 LONG ATMOSPHERIC INTERNAL WAVES 26
2.4.1 INTERNAL WAVES IN AN ATMOSPHERIC WAVEGUIDE 27
2.5 THE METHOD OF SUCCESSIVE APPROXIMATIONS. SOLUTION FOR THE CAUCHY
PROBLEM OF THE COUPLED KORTEWEG-DE VRIES EQUATIONS 37
2.6 THE COUPLED KDV EQUATIONS 40
2.6.1 QUASISOLITONS OF CKDV 40
2.6.2 THE SYMMETRY AND INTEGRABILITY OF CKDV 41
2.6.3 THE STATIONARY SOLUTIONS OF CKDV 44
2.7 NONLINEAR ROSSBY WAVES ON A SPHERE 45
3. INTERACTION OF MODES IN AN ELECTROMAGNETIC FIELD WAVEGUIDE . .. 50
3.1 ELECTROMAGNETIC FIELDS IN DIELECTRIC WAVEGUIDES 50
3.1.1 BASIC EQUATIONS AND BOUNDARY CONDITIONS 50
3.1.2 WAVEGUIDE MODES 52
3.2 EQUATIONS OF MODE INTERACTION 55
3.3 THREE-WAVE INTERACTION OF MAGNETIC MODES IN AN EXTENDED SYSTEM OF
NUCLEAR SPINS 58
3.4 NONLINEAR MODE DISPERSION IN DIELECTRIC WAVEGUIDES 64
IMAGE 3
VNI CONTENTS
4. NONLINEAR WAVES IN STRATIFIED PLASMA 69
4.1 WAVE MODES IN STRATIFIED PLASMA 69
4.1.1 DESCRIPTION OF PLASMA WAVES 69
4.1.2 WEAKLY INHOMOGENEOUS BOUNDED PLASMA 74
4.2 INTERACTION OF PLASMA WAVES 76
4.2.1 LANGMUIR AND ION WAVE INTERACTIONS 76
4.2.2 THREE-WAVE HELICO-ACOUSTIC INTERACTION 79
4.3 STATISTICAL AVERAGING AND WEAK TURBULENCE IN PLASMA 82
4.3.1 SPECTRAL DENSITIES OF ELECTROMAGNETIC FIELD FLUCTUATIONS 82
4.3.2 ONE-DIMENSIONAL TURBULENCE 85
4.4 MULTISOLITON SOLUTIONS OF DISCRETE SILIN-TIKHONCHUK EQUATIONS 88
4.4.1 THE DARBOUX-MATVEEV TRANSFORMATION 88
5. EVOLUTION EQUATIONS FOR INTERNAL WAVES IN MEDIA WITH STRONGLY
INHOMOGENEOUS STRATIFICATION 93
5.1 WAVES IN A MEDIUM WITH VARYING STRATIFICATION 93
5.2 ANALOGUES OF THE KDV AND KP EQUATIONS WITH NONLOCAL DISPERSION 98
5.3 QUASI-WAVEGUIDE PROPAGATION OF INTERNAL WAVES IN THE ATMOSPHERE 104
5.4 WAVES IN GASES INHOMOGENEOUS IN KNUDSEN NUMBER 106
6. MEAN FIELD GENERATION BY WAVES IN A DISSIPATIVE MEDIUM 114
6.1 DESCRIPTION OF A WAVE-MEDIUM SYSTEM BY THE SCALES OF MOTION 114
6.2 THERMOACTIVITY AND DIFFUSION IN THE PRESENCE OF WAVES 119
6.3 REACTION OF IONOSPHERE PLASMA TO A PASSING INTERNAL WAVE . .. 123
6.4 INTERACTION OF INTERNAL WAVES WITH A DISSIPATIVE MEDIUM . . .. 127
6.4.1 TEMPERATURE FIELD INSTABILITY INDUCED BY AN INTERNAL WAVE 127
6.4.2 NONSINGULAR PERTURBATION THEORY 132
6.5 MEAN FIELD GENERATION IN A DISSIPATIVE MEDIUM AND FINE STRUCTURE OF
THE OCEANIC THERMOCLYNE 135
APPENDIX 1 ATMOSPHERIC WAVES OVER A ROTATING PLANET 139
APPENDIX 2 NONLINEAR TERMS FOR INTERACTING MODES OF POINCARE AND ROSSBY
WAVES AT A ROTATING CHANNEL SURFACE . . .. 141
APPENDIX 3 PROJECTION TO THE EIGEN SUBSPACES FOR ACOUSTIC AND INTERNAL
WAVES 143
IMAGE 4
CONTENTS
IX
APPENDIX 4 BASIS VECTORS, INTERACTION OPERATOR FOR ATOMIC NUCLEI WITH
SPIN 1 145
APPENDIX 5 NONLINEAR INTERNAL WAVES
AND SHEAR FLOW INTERACTION CONSTANTS 148
REFERENCES 151
SUBJECT INDEX 161
|
| any_adam_object | 1 |
| author | Leble, Sergej B. 1945- |
| author_GND | (DE-588)112827896 |
| author_facet | Leble, Sergej B. 1945- |
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| building | Verbundindex |
| bvnumber | BV004373460 |
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| dewey-full | 531.1133 |
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| dewey-ones | 531 - Classical mechanics |
| dewey-raw | 531.113 3 |
| dewey-search | 531.113 3 |
| dewey-sort | 3531.113 13 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:12:07Z |
| institution | BVB |
| isbn | 3540521496 0387521496 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002714558 |
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| physical | IX, 163 S. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Springer |
| record_format | marc |
| series2 | Research reports in physics |
| spelling | Leble, Sergej B. 1945- Verfasser (DE-588)112827896 aut Nonlinear waves in waveguides with stratification Sergei B. Leble Berlin u.a. Springer 1991 IX, 163 S. txt rdacontent n rdamedia nc rdacarrier Research reports in physics Literaturverz. S. 151 - 160 Guides d'ondes ram Ondes non linéaires ram champ électromagnétique inriac guide onde inriac hydrodynamique inriac onde non linéaire inriac plasma inriac propagation onde inriac équation évolution inriac Nonlinear waves Stratified flow Geschichtetes Medium (DE-588)4232784-2 gnd rswk-swf Wellenausbreitung (DE-588)4121912-0 gnd rswk-swf Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd rswk-swf Nichtlineare Welle (DE-588)4042102-8 gnd rswk-swf Geschichtetes Medium (DE-588)4232784-2 s Nichtlineare Welle (DE-588)4042102-8 s Wellenausbreitung (DE-588)4121912-0 s Nichtlineare Evolutionsgleichung (DE-588)4221363-0 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002714558&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Leble, Sergej B. 1945- Nonlinear waves in waveguides with stratification Guides d'ondes ram Ondes non linéaires ram champ électromagnétique inriac guide onde inriac hydrodynamique inriac onde non linéaire inriac plasma inriac propagation onde inriac équation évolution inriac Nonlinear waves Stratified flow Geschichtetes Medium (DE-588)4232784-2 gnd Wellenausbreitung (DE-588)4121912-0 gnd Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd Nichtlineare Welle (DE-588)4042102-8 gnd |
| subject_GND | (DE-588)4232784-2 (DE-588)4121912-0 (DE-588)4221363-0 (DE-588)4042102-8 |
| title | Nonlinear waves in waveguides with stratification |
| title_auth | Nonlinear waves in waveguides with stratification |
| title_exact_search | Nonlinear waves in waveguides with stratification |
| title_full | Nonlinear waves in waveguides with stratification Sergei B. Leble |
| title_fullStr | Nonlinear waves in waveguides with stratification Sergei B. Leble |
| title_full_unstemmed | Nonlinear waves in waveguides with stratification Sergei B. Leble |
| title_short | Nonlinear waves in waveguides |
| title_sort | nonlinear waves in waveguides with stratification |
| title_sub | with stratification |
| topic | Guides d'ondes ram Ondes non linéaires ram champ électromagnétique inriac guide onde inriac hydrodynamique inriac onde non linéaire inriac plasma inriac propagation onde inriac équation évolution inriac Nonlinear waves Stratified flow Geschichtetes Medium (DE-588)4232784-2 gnd Wellenausbreitung (DE-588)4121912-0 gnd Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd Nichtlineare Welle (DE-588)4042102-8 gnd |
| topic_facet | Guides d'ondes Ondes non linéaires champ électromagnétique guide onde hydrodynamique onde non linéaire plasma propagation onde équation évolution Nonlinear waves Stratified flow Geschichtetes Medium Wellenausbreitung Nichtlineare Evolutionsgleichung Nichtlineare Welle |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002714558&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT leblesergejb nonlinearwavesinwaveguideswithstratification |