Solitons in multidimensions: inverse spectral transform method
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore u.a.
World Scientific
1993
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 294 S. |
| ISBN: | 9810213484 |
Staff View
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| 100 | 1 | |a Konopel'čenko, Boris G. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Solitons in multidimensions |b inverse spectral transform method |c B. G. Konopelchenko |
| 264 | 1 | |a Singapore u.a. |b World Scientific |c 1993 | |
| 300 | |a VIII, 294 S. | ||
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Record in the Search Index
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| adam_text | Contents
Preface v
Chapter 1. Introduction 1
1.1. Inverse spectral transform method in 1 + 1 dimensions 1
1.2. Basic integrable equations in 2+1 dimensions 11
1.3. Solitons and initial value problem in 2+1 dimensions 21
Chapter 2. Dressing method 29
2.1. 9 equation 29
2.2. Nonlocal 9 problem 32
2.3. 9 dressing method 38
2.4. Examples 46
2.5. 9 dressing on nontrivial background 57
Chapter 3. The Kadomtsev Petviashvili equation 63
3.1. 9 dressing 63
3.2. Exact solutions 71
3.3. Initial value problem for the KP I equation 80
3.4. Initial value problem for the KP II equation 90
Chapter 4. The modified Kadomtsev Petviashvili equation 95
4.1. 3 dressing 96
4.2. Exact solutions 102
4.3. Initial value problem for the mKP I equation 113
4.4. Initial value problem for the mKP II equation 122
4.5. The Miura map and the 2+1 dimensional Gardner equation 125
Chapter 5. The Davey Stewartson equation 129
5.1. 3 dressing 129
5.2. Exact solutions 139
5.3. Initial value problem for the DS I equation 151
vii
viii Contents
5.4. Initial value problem for the DS II equation 156
Chapter 6. The Ishimori equation 164
6.1. 3 dressing 165
6.2. Exact solutions 175
6.3. Initial value problem for the Ishimori I equation 189
6.4. Initial value problem for the Ishimori II equation 195
6.5. Gauge equivalence of the DS and Ishimori equations 200
Chapter 7. The 2+1 dimensional integrable sine Gordon equation 204
7.1. The 2DISG equation and its properties 204
7.2. d dressing 210
7.3. Exact solutions 218
7.4. Localized solitons 227
7.5. Initial value problem for the 2DISG equation 234
Chapter 8. Extensions of the 9 dressing method 240
8.1. 9 dressing for the DS equation with constant asymptotics 240
8.2. S dressing with variable normalization 244
8.3. Further generalizations 252
8.4. Symmetries of the ^ problem and 9 dressing 256
8.5. 2D Harry Dym equation and the 9 problem with essential singularity . . . 262
8.6. Towards the multidimensional systems 268
References 271
|
| any_adam_object | 1 |
| author | Konopel'čenko, Boris G. |
| author_facet | Konopel'čenko, Boris G. |
| author_role | aut |
| author_sort | Konopel'čenko, Boris G. |
| author_variant | b g k bg bgk |
| building | Verbundindex |
| bvnumber | BV009533500 |
| classification_rvk | SK 540 SK 950 |
| ctrlnum | (OCoLC)468026179 (DE-599)BVBBV009533500 |
| dewey-full | 530.14 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.14 |
| dewey-search | 530.14 |
| dewey-sort | 3530.14 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV009533500 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:36:39Z |
| institution | BVB |
| isbn | 9810213484 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006295374 |
| oclc_num | 468026179 |
| open_access_boolean | |
| owner | DE-384 DE-188 |
| owner_facet | DE-384 DE-188 |
| physical | VIII, 294 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Konopel'čenko, Boris G. Verfasser aut Solitons in multidimensions inverse spectral transform method B. G. Konopelchenko Singapore u.a. World Scientific 1993 VIII, 294 S. txt rdacontent n rdamedia nc rdacarrier Problème inverse de diffusion ram Solitons ram Inverse Spektraltheorie (DE-588)4314037-3 gnd rswk-swf Soliton (DE-588)4135213-0 gnd rswk-swf Soliton (DE-588)4135213-0 s Inverse Spektraltheorie (DE-588)4314037-3 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006295374&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Konopel'čenko, Boris G. Solitons in multidimensions inverse spectral transform method Problème inverse de diffusion ram Solitons ram Inverse Spektraltheorie (DE-588)4314037-3 gnd Soliton (DE-588)4135213-0 gnd |
| subject_GND | (DE-588)4314037-3 (DE-588)4135213-0 |
| title | Solitons in multidimensions inverse spectral transform method |
| title_auth | Solitons in multidimensions inverse spectral transform method |
| title_exact_search | Solitons in multidimensions inverse spectral transform method |
| title_full | Solitons in multidimensions inverse spectral transform method B. G. Konopelchenko |
| title_fullStr | Solitons in multidimensions inverse spectral transform method B. G. Konopelchenko |
| title_full_unstemmed | Solitons in multidimensions inverse spectral transform method B. G. Konopelchenko |
| title_short | Solitons in multidimensions |
| title_sort | solitons in multidimensions inverse spectral transform method |
| title_sub | inverse spectral transform method |
| topic | Problème inverse de diffusion ram Solitons ram Inverse Spektraltheorie (DE-588)4314037-3 gnd Soliton (DE-588)4135213-0 gnd |
| topic_facet | Problème inverse de diffusion Solitons Inverse Spektraltheorie Soliton |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006295374&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT konopelcenkoborisg solitonsinmultidimensionsinversespectraltransformmethod |