Nonlinear waves in one-dimensional dispersive systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford
Clarendon Pr.
1979
|
| Schriftenreihe: | Oxford mathematical monographs.
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 142 S. |
| ISBN: | 0198535317 |
Internformat
MARC
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| 100 | 1 | |a Bhatnagar, Prabhu L. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Nonlinear waves in one-dimensional dispersive systems |
| 264 | 1 | |a Oxford |b Clarendon Pr. |c 1979 | |
| 300 | |a XII, 142 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Oxford mathematical monographs. | |
| 650 | 7 | |a Dispersie |2 gtt | |
| 650 | 7 | |a Eendimensionale systemen |2 gtt | |
| 650 | 7 | |a Golffuncties |2 gtt | |
| 650 | 7 | |a Golven (algemeen, natuurkunde) |2 gtt | |
| 650 | 4 | |a Nonlinear waves | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001303394&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-001303394 | ||
Datensatz im Suchindex
| _version_ | 1804116445470130176 |
|---|---|
| adam_text | CONTENTS
1. Linear waves
1.1. Introduction 1
1.2. Linear wave equation: wave terminology 1
1.3. General linear equation, dispersion relation 4
1.4. Dispersive waves: group velocity 6
1.5. General solution of the linear wave equation 8
1.6. Propagation of energy in a dispersive wave 11
1.7. An important kinematical relation 13
Bibliography 14
Appendix I Saddle point method 15
2. Some nonlinear equations of evolution (steady solution) 21
2.1. Introduction 21
2.2. Effect of nonlinearity 22
2.3. Diffusive waves 28
2.4. Dispersive waves 31
2.5. Solitary wave: solitons 37
2.6. Some other equations of evolution exhibiting solitons 38
Bibliography 41
Appendix IIA Equations governing duct flow and shallow
water waves on uneven bed 46
Appendix IIB Reduction theory 51
3. Soliton interaction 61
3.1. Introduction 61
3.2. Properties of the Schrddinger equation 61
3.3 Integrals of equation and relationship between
KdV equation and the Schrodinger equation 65
3.4. Time independence of the eigenvalues of the
Schrodinger equation, determination of
scattering parameters 67
3.5. Inverse scattering problem 70
3.6. Soliton solution of the KdV equation 71
3.7. Soliton interaction 83
3.8. Continuous eigenvalues of the Schrodinger operator 88
Bibliography 88
4. General equation of evolution 91
4.1. Introduction 91
4.2. Definitions 94
4.3. Solitary wave solution of the general
inn
equation of evolution 100
xii CONTENTS
4.4 Application of the general theory to the
KdV equation 104
4.5. Eigenspeeds of the general solution
of the KdV equation 109
Bibliography 111
5. Group velocity: nonlinear waves 113
5.1. Introduction 113
5.2. Averaging procedure 114
5.3. Examples 117
5.4. The Korteweg de Vries equation 125
5.5 Group Velocity: dynamical treatment 133
Bibliography 138
Author index 139
Subject index 141
|
| any_adam_object | 1 |
| author | Bhatnagar, Prabhu L. |
| author_facet | Bhatnagar, Prabhu L. |
| author_role | aut |
| author_sort | Bhatnagar, Prabhu L. |
| author_variant | p l b pl plb |
| building | Verbundindex |
| bvnumber | BV001998172 |
| callnumber-first | Q - Science |
| callnumber-label | QA927 |
| callnumber-raw | QA927 |
| callnumber-search | QA927 |
| callnumber-sort | QA 3927 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 540 |
| ctrlnum | (OCoLC)5101001 (DE-599)BVBBV001998172 |
| dewey-full | 531/.1133 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 531 - Classical mechanics |
| dewey-raw | 531/.1133 |
| dewey-search | 531/.1133 |
| dewey-sort | 3531 41133 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV001998172 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:38:37Z |
| institution | BVB |
| isbn | 0198535317 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001303394 |
| oclc_num | 5101001 |
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| owner | DE-91 DE-BY-TUM DE-384 DE-706 DE-83 DE-188 |
| owner_facet | DE-91 DE-BY-TUM DE-384 DE-706 DE-83 DE-188 |
| physical | XII, 142 S. |
| publishDate | 1979 |
| publishDateSearch | 1979 |
| publishDateSort | 1979 |
| publisher | Clarendon Pr. |
| record_format | marc |
| series2 | Oxford mathematical monographs. |
| spelling | Bhatnagar, Prabhu L. Verfasser aut Nonlinear waves in one-dimensional dispersive systems Oxford Clarendon Pr. 1979 XII, 142 S. txt rdacontent n rdamedia nc rdacarrier Oxford mathematical monographs. Dispersie gtt Eendimensionale systemen gtt Golffuncties gtt Golven (algemeen, natuurkunde) gtt Nonlinear waves HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001303394&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bhatnagar, Prabhu L. Nonlinear waves in one-dimensional dispersive systems Dispersie gtt Eendimensionale systemen gtt Golffuncties gtt Golven (algemeen, natuurkunde) gtt Nonlinear waves |
| title | Nonlinear waves in one-dimensional dispersive systems |
| title_auth | Nonlinear waves in one-dimensional dispersive systems |
| title_exact_search | Nonlinear waves in one-dimensional dispersive systems |
| title_full | Nonlinear waves in one-dimensional dispersive systems |
| title_fullStr | Nonlinear waves in one-dimensional dispersive systems |
| title_full_unstemmed | Nonlinear waves in one-dimensional dispersive systems |
| title_short | Nonlinear waves in one-dimensional dispersive systems |
| title_sort | nonlinear waves in one dimensional dispersive systems |
| topic | Dispersie gtt Eendimensionale systemen gtt Golffuncties gtt Golven (algemeen, natuurkunde) gtt Nonlinear waves |
| topic_facet | Dispersie Eendimensionale systemen Golffuncties Golven (algemeen, natuurkunde) Nonlinear waves |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001303394&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bhatnagarprabhul nonlinearwavesinonedimensionaldispersivesystems |