Introduction to multidimensional integrable equations: the inverse spectral transform in 2+1 dimensions
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York u.a.
Plenum Press
1992
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 292 S. |
| ISBN: | 0306442205 |
Internformat
MARC
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| 100 | 1 | |a Konopel'čenko, Boris G. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Introduction to multidimensional integrable equations |b the inverse spectral transform in 2+1 dimensions |c B. G. Konopelchenko |
| 264 | 1 | |a New York u.a. |b Plenum Press |c 1992 | |
| 300 | |a X, 292 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 7 | |a Analyse numérique |2 Jussieu | |
| 650 | 7 | |a Equation Davey-Stewartson |2 Jussieu | |
| 650 | 7 | |a Equation Ishimori |2 Jussieu | |
| 650 | 7 | |a Equation Kadomtsev-Petviashvili |2 Jussieu | |
| 650 | 7 | |a Equation Manakov-Zakharov-Mikhailov |2 Jussieu | |
| 650 | 7 | |a Equation Nizhnik |2 Jussieu | |
| 650 | 7 | |a Equation Veselov-Novikov |2 Jussieu | |
| 650 | 7 | |a Equation Yang-Mills |2 Jussieu | |
| 650 | 7 | |a Equation intégrale |2 Jussieu | |
| 650 | 7 | |a Equations intégrales - Solutions numériques |2 ram | |
| 650 | 7 | |a Physique mathématique |2 ram | |
| 650 | 7 | |a Scattering inverse |2 Jussieu | |
| 650 | 7 | |a Système Melnikov |2 Jussieu | |
| 650 | 7 | |a Système intégrale multidimensionnel |2 Jussieu | |
| 650 | 7 | |a Transformation spectrale inverse |2 Jussieu | |
| 650 | 4 | |a Mathematische Physik | |
| 650 | 4 | |a Integral equations |x Numerical solutions | |
| 650 | 4 | |a Inverse scattering transform | |
| 650 | 4 | |a Mathematical physics | |
| 650 | 0 | 7 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Inverses Streuproblem |0 (DE-588)4027547-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Integralgleichung |0 (DE-588)4027229-1 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804122784182304768 |
|---|---|
| adam_text | Contents
Chapter 1. Introduction 1
1.1. The inverse spectral transform method in 1+1 dimensions.
Brief history and examples of integrable equations 1
1.2. Methods of solution for (l+l) dimensional integrable equations ... 10
1.3. Multidimensional generalizations 21
1.4. Methods of solution for (2+1 ) dimensional integrable systems. Summary 35
Chapter 2. The inverse spectral transform method in 2+1 dimensions 47
2.1. The Kadomtsev Petviashvili 1 equation 47
2.2. The Kadomtsev Petviashvili II equation. Generalized analytic functions 59
2.3. Exact solutions of the Kadomtsev Petviashvili equation 67
2.4. The Davey Stewartson 1 equation 76
2.5. The Davey Stewartson II equation 86
2.6. The Veselov Novikov (NVN I+) equation 91
2.7. The NVN I_ and NVN I0 equations 101
2.8. The Nizhnik (NVN II) equation 106
Chapter 3. Other integrable equations and methods of
solution in 2+1 dimensions 113
3.1. The multidimensional resonantly interacting three wave model .... 113
3.2. The Ishimori equation. The Hirota method 116
3.3. The Manakov Zakharov Mikhailov equation 121
3.4. Nonlocal, cylindrical, and other generalizations of the
Kadomtsev Petviashvili equation 130
ix
x Contents
3.5. The Mel nikov system 134
3.6. The modified Kadomtsev Petviashvili and Gardner equations.
The Miura transformation and gauge invariance 140
3.7. Further integrable equations in 2+1 dimensions 144
Chapter 4. General methods for the construction of (2+1)
dimensional integrable equations, r function and
d dressing methods 155
4.1. The T function, vertex operator, and infinite dimensional
groups for the KP hierarchy 156
4.2. Generalization of the dressing method 167
4.3. The general 9 dressing method 172
4.4. The 9 dressing method with variable normalization 184
4.5. Operator representation of the multidimensional integrable equations . 192
Chapter 5. Multidimensional integrable systems 203
5.1. The self dual Yang Mills equation 203
5.2. The supersymmetric Yang Mills equation 213
5.3. Multidimensional integrable generalizations of the wave, sine Gordon,
and self dual equations 218
5.4. Obstacles to multidimensionalization of the inverse spectral transform
method. I. The Born approximation 226
5.5. Obstacles to multidimensionalization of the inverse spectral transform
method. II. Nonlinear characterization of the inverse scattering data . 232
Conclusion 237
References 239
Index 291
|
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| author | Konopel'čenko, Boris G. |
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| dewey-ones | 530 - Physics |
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| dewey-sort | 3530.1 14 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV008416331 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:19:22Z |
| institution | BVB |
| isbn | 0306442205 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005544880 |
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| physical | X, 292 S. |
| publishDate | 1992 |
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| publisher | Plenum Press |
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| spelling | Konopel'čenko, Boris G. Verfasser aut Introduction to multidimensional integrable equations the inverse spectral transform in 2+1 dimensions B. G. Konopelchenko New York u.a. Plenum Press 1992 X, 292 S. txt rdacontent n rdamedia nc rdacarrier Analyse numérique Jussieu Equation Davey-Stewartson Jussieu Equation Ishimori Jussieu Equation Kadomtsev-Petviashvili Jussieu Equation Manakov-Zakharov-Mikhailov Jussieu Equation Nizhnik Jussieu Equation Veselov-Novikov Jussieu Equation Yang-Mills Jussieu Equation intégrale Jussieu Equations intégrales - Solutions numériques ram Physique mathématique ram Scattering inverse Jussieu Système Melnikov Jussieu Système intégrale multidimensionnel Jussieu Transformation spectrale inverse Jussieu Mathematische Physik Integral equations Numerical solutions Inverse scattering transform Mathematical physics Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Inverses Streuproblem (DE-588)4027547-4 gnd rswk-swf Integralgleichung (DE-588)4027229-1 gnd rswk-swf Inverses Streuproblem (DE-588)4027547-4 s DE-604 Integralgleichung (DE-588)4027229-1 s Numerisches Verfahren (DE-588)4128130-5 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005544880&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Konopel'čenko, Boris G. Introduction to multidimensional integrable equations the inverse spectral transform in 2+1 dimensions Analyse numérique Jussieu Equation Davey-Stewartson Jussieu Equation Ishimori Jussieu Equation Kadomtsev-Petviashvili Jussieu Equation Manakov-Zakharov-Mikhailov Jussieu Equation Nizhnik Jussieu Equation Veselov-Novikov Jussieu Equation Yang-Mills Jussieu Equation intégrale Jussieu Equations intégrales - Solutions numériques ram Physique mathématique ram Scattering inverse Jussieu Système Melnikov Jussieu Système intégrale multidimensionnel Jussieu Transformation spectrale inverse Jussieu Mathematische Physik Integral equations Numerical solutions Inverse scattering transform Mathematical physics Numerisches Verfahren (DE-588)4128130-5 gnd Inverses Streuproblem (DE-588)4027547-4 gnd Integralgleichung (DE-588)4027229-1 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4027547-4 (DE-588)4027229-1 |
| title | Introduction to multidimensional integrable equations the inverse spectral transform in 2+1 dimensions |
| title_auth | Introduction to multidimensional integrable equations the inverse spectral transform in 2+1 dimensions |
| title_exact_search | Introduction to multidimensional integrable equations the inverse spectral transform in 2+1 dimensions |
| title_full | Introduction to multidimensional integrable equations the inverse spectral transform in 2+1 dimensions B. G. Konopelchenko |
| title_fullStr | Introduction to multidimensional integrable equations the inverse spectral transform in 2+1 dimensions B. G. Konopelchenko |
| title_full_unstemmed | Introduction to multidimensional integrable equations the inverse spectral transform in 2+1 dimensions B. G. Konopelchenko |
| title_short | Introduction to multidimensional integrable equations |
| title_sort | introduction to multidimensional integrable equations the inverse spectral transform in 2 1 dimensions |
| title_sub | the inverse spectral transform in 2+1 dimensions |
| topic | Analyse numérique Jussieu Equation Davey-Stewartson Jussieu Equation Ishimori Jussieu Equation Kadomtsev-Petviashvili Jussieu Equation Manakov-Zakharov-Mikhailov Jussieu Equation Nizhnik Jussieu Equation Veselov-Novikov Jussieu Equation Yang-Mills Jussieu Equation intégrale Jussieu Equations intégrales - Solutions numériques ram Physique mathématique ram Scattering inverse Jussieu Système Melnikov Jussieu Système intégrale multidimensionnel Jussieu Transformation spectrale inverse Jussieu Mathematische Physik Integral equations Numerical solutions Inverse scattering transform Mathematical physics Numerisches Verfahren (DE-588)4128130-5 gnd Inverses Streuproblem (DE-588)4027547-4 gnd Integralgleichung (DE-588)4027229-1 gnd |
| topic_facet | Analyse numérique Equation Davey-Stewartson Equation Ishimori Equation Kadomtsev-Petviashvili Equation Manakov-Zakharov-Mikhailov Equation Nizhnik Equation Veselov-Novikov Equation Yang-Mills Equation intégrale Equations intégrales - Solutions numériques Physique mathématique Scattering inverse Système Melnikov Système intégrale multidimensionnel Transformation spectrale inverse Mathematische Physik Integral equations Numerical solutions Inverse scattering transform Mathematical physics Numerisches Verfahren Inverses Streuproblem Integralgleichung |
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