Solitons and the inverse scattering transform:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Philadelphia
SIAM
1981
|
| Series: | Society for Industrial and Applied Mathematics: SIAM studies in applied mathematics.
4. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverzeichnis S. 393 - 414 |
| Physical Description: | X, 425 S. |
| ISBN: | 0898711746 |
Staff View
MARC
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| 100 | 1 | |a Ablowitz, Mark J. |d 1945- |e Verfasser |0 (DE-588)143611844 |4 aut | |
| 245 | 1 | 0 | |a Solitons and the inverse scattering transform |c Mark J. Ablowitz ; Harvey Segur* |
| 264 | 1 | |a Philadelphia |b SIAM |c 1981 | |
| 300 | |a X, 425 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Society for Industrial and Applied Mathematics: SIAM studies in applied mathematics. |v 4. | |
| 500 | |a Literaturverzeichnis S. 393 - 414 | ||
| 650 | 7 | |a Fourier-transformatie |2 gtt | |
| 650 | 7 | |a Inverse scattering techniek |2 gtt | |
| 650 | 4 | |a Problème inverse de diffusion | |
| 650 | 7 | |a Problème inverse de diffusion |2 ram | |
| 650 | 4 | |a Solitons | |
| 650 | 7 | |a Solitons |2 gtt | |
| 650 | 7 | |a Solitons |2 ram | |
| 650 | 4 | |a Équations d'évolution non linéaires | |
| 650 | 4 | |a Inverse scattering transform | |
| 650 | 4 | |a Solitons | |
| 650 | 0 | 7 | |a Soliton |0 (DE-588)4135213-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Wellengleichung |0 (DE-588)4065315-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Inverse Streutheorie |0 (DE-588)4561758-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Strahlung |0 (DE-588)4057849-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Inverse Streutheorie |0 (DE-588)4561758-2 |D s |
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| 700 | 1 | |a Segur, Harvey |e Verfasser |4 aut | |
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Record in the Search Index
| _version_ | 1804116445742759936 |
|---|---|
| adam_text | Contents
Prologue ix
Chapter 1: The Inverse Scattering Transform on the Infinite Interval 1
1.1. Introduction 1
1.2. Second order eigenvalue problems and related solvable partial
differential equations 8
1.3. Derivation of a linear integral equation and inverse scattering
on the infinite interval 15
1.4. Time dependence and special solutions 28
1.5. General evolution operator 42
1.6. Conservation laws and complete integrability 52
1.7. Long time behavior of the solutions 67
Exercises 84
Chapter 2: 1ST in Other Settings 93
2.1. Higher order eigenvalue problems and multidimensional scat¬
tering problems 93
2.2. Discrete problems 114
2.3. Periodic boundary conditions for the Korteweg deVries
equation 134
Exercises 148
Chapter 3: Other Perspectives 151
Overview 151
3.1. Backlund transformations 153
3.2. Pseudopotentials and prolongation structures 161
3.3. Direct methods for finding soliton solutions—Hirota s method 171
vii
viii CONTENTS
3.4. Rational solutions of nonlinear evolution equations 191
3.5. AT body problems and nonlinear evolution equations 203
3.6. Direct approaches with the linear integral equation 217
3.7. Painleve transcendents 233
3.8. Perturbations and transverse stability of solitons and solitary
waves 250
Exercises 261
Chapter 4: Applications 275
4.1. KdV problems and their cousins 276
4.2. Three wave interactions 300
4.3. The nonlinear Schrodinger equation and generalizations . . 313
4.4. Equations of the sine Gordon type 327
4.5. Quantum field theory 339
Exercises 342
Appendix: Linear Problems 351
A.I. Fourier transforms 351
A.2. Failure of the Fourier transform method 373
Exercises 384
Bibliography 393
Index 415
|
| any_adam_object | 1 |
| author | Ablowitz, Mark J. 1945- Segur, Harvey |
| author_GND | (DE-588)143611844 |
| author_facet | Ablowitz, Mark J. 1945- Segur, Harvey |
| author_role | aut aut |
| author_sort | Ablowitz, Mark J. 1945- |
| author_variant | m j a mj mja h s hs |
| building | Verbundindex |
| bvnumber | BV001998403 |
| callnumber-first | Q - Science |
| callnumber-label | QA927 |
| callnumber-raw | QA927 |
| callnumber-search | QA927 |
| callnumber-sort | QA 3927 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 500 SK 540 |
| classification_tum | PHY 013f |
| ctrlnum | (OCoLC)8103208 (DE-599)BVBBV001998403 |
| dewey-full | 515.3/5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.3/5 |
| dewey-search | 515.3/5 |
| dewey-sort | 3515.3 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV001998403 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:38:38Z |
| institution | BVB |
| isbn | 0898711746 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001303552 |
| oclc_num | 8103208 |
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| owner_facet | DE-91 DE-BY-TUM DE-384 DE-703 DE-739 DE-83 DE-188 |
| physical | X, 425 S. |
| psigel | TUB-nveb |
| publishDate | 1981 |
| publishDateSearch | 1981 |
| publishDateSort | 1981 |
| publisher | SIAM |
| record_format | marc |
| series | Society for Industrial and Applied Mathematics: SIAM studies in applied mathematics. |
| series2 | Society for Industrial and Applied Mathematics: SIAM studies in applied mathematics. |
| spelling | Ablowitz, Mark J. 1945- Verfasser (DE-588)143611844 aut Solitons and the inverse scattering transform Mark J. Ablowitz ; Harvey Segur* Philadelphia SIAM 1981 X, 425 S. txt rdacontent n rdamedia nc rdacarrier Society for Industrial and Applied Mathematics: SIAM studies in applied mathematics. 4. Literaturverzeichnis S. 393 - 414 Fourier-transformatie gtt Inverse scattering techniek gtt Problème inverse de diffusion Problème inverse de diffusion ram Solitons Solitons gtt Solitons ram Équations d'évolution non linéaires Inverse scattering transform Soliton (DE-588)4135213-0 gnd rswk-swf Wellengleichung (DE-588)4065315-8 gnd rswk-swf Inverse Streutheorie (DE-588)4561758-2 gnd rswk-swf Strahlung (DE-588)4057849-5 gnd rswk-swf Inverse Streutheorie (DE-588)4561758-2 s Soliton (DE-588)4135213-0 s DE-604 Strahlung (DE-588)4057849-5 s 1\p DE-604 Wellengleichung (DE-588)4065315-8 s 2\p DE-604 Segur, Harvey Verfasser aut Society for Industrial and Applied Mathematics: SIAM studies in applied mathematics. 4. (DE-604)BV001889480 4. HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001303552&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ablowitz, Mark J. 1945- Segur, Harvey Solitons and the inverse scattering transform Society for Industrial and Applied Mathematics: SIAM studies in applied mathematics. Fourier-transformatie gtt Inverse scattering techniek gtt Problème inverse de diffusion Problème inverse de diffusion ram Solitons Solitons gtt Solitons ram Équations d'évolution non linéaires Inverse scattering transform Soliton (DE-588)4135213-0 gnd Wellengleichung (DE-588)4065315-8 gnd Inverse Streutheorie (DE-588)4561758-2 gnd Strahlung (DE-588)4057849-5 gnd |
| subject_GND | (DE-588)4135213-0 (DE-588)4065315-8 (DE-588)4561758-2 (DE-588)4057849-5 |
| title | Solitons and the inverse scattering transform |
| title_auth | Solitons and the inverse scattering transform |
| title_exact_search | Solitons and the inverse scattering transform |
| title_full | Solitons and the inverse scattering transform Mark J. Ablowitz ; Harvey Segur* |
| title_fullStr | Solitons and the inverse scattering transform Mark J. Ablowitz ; Harvey Segur* |
| title_full_unstemmed | Solitons and the inverse scattering transform Mark J. Ablowitz ; Harvey Segur* |
| title_short | Solitons and the inverse scattering transform |
| title_sort | solitons and the inverse scattering transform |
| topic | Fourier-transformatie gtt Inverse scattering techniek gtt Problème inverse de diffusion Problème inverse de diffusion ram Solitons Solitons gtt Solitons ram Équations d'évolution non linéaires Inverse scattering transform Soliton (DE-588)4135213-0 gnd Wellengleichung (DE-588)4065315-8 gnd Inverse Streutheorie (DE-588)4561758-2 gnd Strahlung (DE-588)4057849-5 gnd |
| topic_facet | Fourier-transformatie Inverse scattering techniek Problème inverse de diffusion Solitons Équations d'évolution non linéaires Inverse scattering transform Soliton Wellengleichung Inverse Streutheorie Strahlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001303552&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001889480 |
| work_keys_str_mv | AT ablowitzmarkj solitonsandtheinversescatteringtransform AT segurharvey solitonsandtheinversescatteringtransform |