Darboux transformations and solitons:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1991
|
| Schriftenreihe: | Springer series in nonlinear dynamics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 113 - 118 |
| Beschreibung: | VIII, 120 S. |
| ISBN: | 3540506608 0387506608 |
Internformat
MARC
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| 100 | 1 | |a Matveev, Vladimir B. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Darboux transformations and solitons |c V. B. Matveev ; M. A. Salle |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1991 | |
| 300 | |a VIII, 120 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Springer series in nonlinear dynamics | |
| 500 | |a Literaturverz. S. 113 - 118 | ||
| 650 | 4 | |a Darboux, Transformations de | |
| 650 | 7 | |a Darboux, transformations de |2 ram | |
| 650 | 4 | |a Solitons | |
| 650 | 7 | |a Solitons |2 ram | |
| 650 | 4 | |a Équations aux dérivées partielles - Solutions numériques | |
| 650 | 4 | |a Darboux transformations | |
| 650 | 4 | |a Differential equations, Partial |x Numerical solutions | |
| 650 | 4 | |a Solitons | |
| 650 | 0 | 7 | |a Darboux-Transformation |0 (DE-588)4273823-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Soliton |0 (DE-588)4135213-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Soliton |0 (DE-588)4135213-0 |D s |
| 689 | 0 | 1 | |a Darboux-Transformation |0 (DE-588)4273823-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Salle, Michail A. |e Verfasser |4 aut | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-002932646 | ||
Datensatz im Suchindex
| _version_ | 1804118882397454336 |
|---|---|
| adam_text | Contents
1. Introduction 1
2. Darboux Transformations and Linear Equations 7
2.1 Darboux and Crum Theorems 7
2.2 Reflectionless Potentials and Their Properties 10
2.3 Darboux Transformations
for the Linear Nonstationary Schrodinger Equation
and Higher Order Linear Evolution Equations 16
2.4 Binary Darboux Transformations 19
2.5 Darboux Transformations for a Lattice Evolution Equation .. 23
2.6 Darboux Transformations
and Supersymmetric Quantum Mechanics 24
2.7 Factorization Method for Multidimensional Hamiltonians ... 26
2.8 Binary Darboux Transformation
and the dpdgip + uip = 0 Equation 27
3. Exact Solutions of the KdV and KP Equations 29
3.1 The KdV and KP Equations in Physics 29
3.2 The KdV Equation and the Associated Linear System 31
3.3 Some Exact Solutions of the KP Equation 33
3.4 Elastic and Inelastic Collisions of KP Solitons.
Instability of Lumps 38
3.5 Soliton Propagation on an Arbitrary Background 41
3.6 The Boussinesq Equation 43
3.7 The Johnson Equation and its Equivalence to the KP Equation 45
3.8 The Cylindrical KdV Equation and its Exact Solutions 47
4. Darboux Transformations for the Zero Curvature Equations
and Nonlocal Nonlinear Evolution Equations 49
4.1 Darboux Transformations for Nonlinear Evolution Equations
and the Generalized Zakharov Shabat Linear Problem 49
4.2 Multisoliton and Periodic Solutions
of the Nonlinear Schrodinger Equation 51
4.3 Interactions of the NS Solitons with an Arbitrary Background 55
4.4 Bloch Equations, the Reduced Maxwell Bloch System
and SIT Equations 59
VIE Contents
4.5 Generation of the Second Harmonic 67
4.6 The Nonlocal KdV Equation 68
4.7 The Kaup Equation 75
5. Nonlinear Lattice Equations and Related Systems 77
5.1 Darboux Transformations
and the Two Dimensional Toda Lattice 77
5.2 The Lattice Burgers Equation 85
5.3 Nonabelian Toda Lattice 86
5.4 Multisoliton Solutions of the Sine Gordon Equation 88
5.5 The Nonlinear Network Equations and Related Systems .... 92
5.6 The Lattice Silin Tikhonchuk Equation 94
6. Darboux Transformation for 2 +1 Nonlinear Evolution Equations
and Localized Soliton Solutions 97
6.1 The Davey Stewartson Equation 97
6.2 The Veselov Novikov Equation 102
7. Hamiltonian Interpretation of the Darboux Transformations
and Other Problems 104
7.1 Darboux Transformation as a Canonical Transformation .... 104
7.2 The Relationship Between the Zakharov Shabat
Dressing Method and Darboux Transformations 105
7.3 Phase Shifts in Soliton Interaction 106
Comments on the Literature 108
Summary and Outlook 112
References 113
Subject Index 119
|
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| author | Matveev, Vladimir B. Salle, Michail A. |
| author_facet | Matveev, Vladimir B. Salle, Michail A. |
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| dewey-ones | 530 - Physics |
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| discipline | Physik Mathematik |
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| id | DE-604.BV004763329 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:17:21Z |
| institution | BVB |
| isbn | 3540506608 0387506608 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002932646 |
| oclc_num | 22731689 |
| open_access_boolean | |
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| owner_facet | DE-384 DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-703 DE-83 DE-11 DE-188 DE-91G DE-BY-TUM |
| physical | VIII, 120 S. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Springer |
| record_format | marc |
| series2 | Springer series in nonlinear dynamics |
| spelling | Matveev, Vladimir B. Verfasser aut Darboux transformations and solitons V. B. Matveev ; M. A. Salle Berlin [u.a.] Springer 1991 VIII, 120 S. txt rdacontent n rdamedia nc rdacarrier Springer series in nonlinear dynamics Literaturverz. S. 113 - 118 Darboux, Transformations de Darboux, transformations de ram Solitons Solitons ram Équations aux dérivées partielles - Solutions numériques Darboux transformations Differential equations, Partial Numerical solutions Darboux-Transformation (DE-588)4273823-4 gnd rswk-swf Soliton (DE-588)4135213-0 gnd rswk-swf Soliton (DE-588)4135213-0 s Darboux-Transformation (DE-588)4273823-4 s DE-604 Salle, Michail A. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002932646&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Matveev, Vladimir B. Salle, Michail A. Darboux transformations and solitons Darboux, Transformations de Darboux, transformations de ram Solitons Solitons ram Équations aux dérivées partielles - Solutions numériques Darboux transformations Differential equations, Partial Numerical solutions Darboux-Transformation (DE-588)4273823-4 gnd Soliton (DE-588)4135213-0 gnd |
| subject_GND | (DE-588)4273823-4 (DE-588)4135213-0 |
| title | Darboux transformations and solitons |
| title_auth | Darboux transformations and solitons |
| title_exact_search | Darboux transformations and solitons |
| title_full | Darboux transformations and solitons V. B. Matveev ; M. A. Salle |
| title_fullStr | Darboux transformations and solitons V. B. Matveev ; M. A. Salle |
| title_full_unstemmed | Darboux transformations and solitons V. B. Matveev ; M. A. Salle |
| title_short | Darboux transformations and solitons |
| title_sort | darboux transformations and solitons |
| topic | Darboux, Transformations de Darboux, transformations de ram Solitons Solitons ram Équations aux dérivées partielles - Solutions numériques Darboux transformations Differential equations, Partial Numerical solutions Darboux-Transformation (DE-588)4273823-4 gnd Soliton (DE-588)4135213-0 gnd |
| topic_facet | Darboux, Transformations de Darboux, transformations de Solitons Équations aux dérivées partielles - Solutions numériques Darboux transformations Differential equations, Partial Numerical solutions Darboux-Transformation Soliton |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002932646&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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