Soliton equations and their algebro-geometric solutions: 2 (1 + 1)-dimensional discrete models
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2008
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Cambridge studies in advanced mathematics
114 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 438 S. |
| ISBN: | 9780521753081 |
Internformat
MARC
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| 245 | 1 | 0 | |a Soliton equations and their algebro-geometric solutions |n 2 |p (1 + 1)-dimensional discrete models |c Fritz Gesztesy ; Helge Holden |
| 246 | 1 | 3 | |a (One plus 1)-dimensional discrete models |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2008 | |
| 300 | |a X, 438 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-016737883 | ||
Datensatz im Suchindex
| _version_ | 1804138017097515008 |
|---|---|
| adam_text | Contents
Acknowledgments page
ix
Introduction
1
1
The
Toda
Hierarchy
25
1.1
Contents
25
1.2
The
Toda
Hierarchy, Recursion Relations, Lax Pairs, and Hyperel-
liptic Curves
26
1.3
The Stationary
Toda
Formalism
41
1.4
The Stationary
Toda Algebro-Geometric
Initial Value Problem
72
1.5
The Time-Dependent
Toda
Formalism
84
1.6
The Time-Dependent
Toda
Algebro-Geometric
Initial Value Problem
103
1.7
Toda
Conservation Laws and the Hamiltonian Formalism
117
1.8
Notes
145
2
The
Кас
-van Moerbeke Hierarchy
161
2.1
Contents
161
2.2
The KM Hierarchy and its Relation to the
Toda
Hierarchy
162
2.3
The Stationary KM Formalism
172
2.4
The Time-Dependent KM Formalism
178
2.5
Notes
181
3
The Ablowitz-Ladik Hierarchy
186
3.1
Contents
186
3.2
The Ablowitz-Ladik Hierarchy, Recursion Relations,
Zero-Curvature Pairs, and Hyperelliptic Curves
187
3.3
Lax Pairs for the Ablowitz-Ladik Hierarchy
202
3.4
The Stationary Ablowitz-Ladik Formalism
220
vu
viii Contents
3.5
The Stationary Ablowitz-Ladik Algebro-Geometric
Initial Value Problem
236
3.6
The Time-Dependent Ablowitz-Ladik Formalism
249
3.7
The Time-Dependent Ablowitz-Ladik Algebro-Geometric
Initial Value Problem
267
3.8
Ablowitz-Ladik Conservation Laws and the Hamiltonian Formalism
281
3.9
Notes
314
Appendices
A Algebraic Curves and Their Theta Functions in a Nutshell
324
В
Hyperelliptic Curves of the Toda-Type
353
С
Asymptotic Spectral Parameter Expansions and Nonlinear Recur¬
sion Relations
365
D
Lagrange
Interpolation
385
List of Symbols
395
Bibliography
398
Index
423
Errata and Addenda for Volume I
426
|
| adam_txt |
Contents
Acknowledgments page
ix
Introduction
1
1
The
Toda
Hierarchy
25
1.1
Contents
25
1.2
The
Toda
Hierarchy, Recursion Relations, Lax Pairs, and Hyperel-
liptic Curves
26
1.3
The Stationary
Toda
Formalism
41
1.4
The Stationary
Toda Algebro-Geometric
Initial Value Problem
72
1.5
The Time-Dependent
Toda
Formalism
84
1.6
The Time-Dependent
Toda
Algebro-Geometric
Initial Value Problem
103
1.7
Toda
Conservation Laws and the Hamiltonian Formalism
117
1.8
Notes
145
2
The
Кас
-van Moerbeke Hierarchy
161
2.1
Contents
161
2.2
The KM Hierarchy and its Relation to the
Toda
Hierarchy
162
2.3
The Stationary KM Formalism
172
2.4
The Time-Dependent KM Formalism
178
2.5
Notes
181
3
The Ablowitz-Ladik Hierarchy
186
3.1
Contents
186
3.2
The Ablowitz-Ladik Hierarchy, Recursion Relations,
Zero-Curvature Pairs, and Hyperelliptic Curves
187
3.3
Lax Pairs for the Ablowitz-Ladik Hierarchy
202
3.4
The Stationary Ablowitz-Ladik Formalism
220
vu
viii Contents
3.5
The Stationary Ablowitz-Ladik Algebro-Geometric
Initial Value Problem
236
3.6
The Time-Dependent Ablowitz-Ladik Formalism
249
3.7
The Time-Dependent Ablowitz-Ladik Algebro-Geometric
Initial Value Problem
267
3.8
Ablowitz-Ladik Conservation Laws and the Hamiltonian Formalism
281
3.9
Notes
314
Appendices
A Algebraic Curves and Their Theta Functions in a Nutshell
324
В
Hyperelliptic Curves of the Toda-Type
353
С
Asymptotic Spectral Parameter Expansions and Nonlinear Recur¬
sion Relations
365
D
Lagrange
Interpolation
385
List of Symbols
395
Bibliography
398
Index
423
Errata and Addenda for Volume I
426 |
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| id | DE-604.BV035069485 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T22:03:38Z |
| indexdate | 2024-07-09T21:21:30Z |
| institution | BVB |
| isbn | 9780521753081 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016737883 |
| oclc_num | 315895565 |
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| owner_facet | DE-703 DE-19 DE-BY-UBM |
| physical | X, 438 S. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge studies in advanced mathematics |
| series2 | Cambridge studies in advanced mathematics |
| spelling | Soliton equations and their algebro-geometric solutions 2 (1 + 1)-dimensional discrete models Fritz Gesztesy ; Helge Holden (One plus 1)-dimensional discrete models 1. publ. Cambridge Cambridge University Press 2008 X, 438 S. txt rdacontent n rdamedia nc rdacarrier Cambridge studies in advanced mathematics 114 Cambridge studies in advanced mathematics ... Wellengleichung (DE-588)4065315-8 gnd rswk-swf Soliton (DE-588)4135213-0 gnd rswk-swf Lösung Mathematik (DE-588)4120678-2 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Soliton (DE-588)4135213-0 s Wellengleichung (DE-588)4065315-8 s Algebraische Geometrie (DE-588)4001161-6 s DE-604 Lösung Mathematik (DE-588)4120678-2 s Gesztesy, Fritz 1953- Sonstige (DE-588)134200136 oth Holden, Helge 1956- Sonstige (DE-588)111693667 oth Michor, Johanna Sonstige oth (DE-604)BV014629969 2 Cambridge studies in advanced mathematics 114 (DE-604)BV000003678 114 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016737883&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Soliton equations and their algebro-geometric solutions Cambridge studies in advanced mathematics Wellengleichung (DE-588)4065315-8 gnd Soliton (DE-588)4135213-0 gnd Lösung Mathematik (DE-588)4120678-2 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| subject_GND | (DE-588)4065315-8 (DE-588)4135213-0 (DE-588)4120678-2 (DE-588)4001161-6 |
| title | Soliton equations and their algebro-geometric solutions |
| title_alt | (One plus 1)-dimensional discrete models |
| title_auth | Soliton equations and their algebro-geometric solutions |
| title_exact_search | Soliton equations and their algebro-geometric solutions |
| title_exact_search_txtP | Soliton equations and their algebro-geometric solutions |
| title_full | Soliton equations and their algebro-geometric solutions 2 (1 + 1)-dimensional discrete models Fritz Gesztesy ; Helge Holden |
| title_fullStr | Soliton equations and their algebro-geometric solutions 2 (1 + 1)-dimensional discrete models Fritz Gesztesy ; Helge Holden |
| title_full_unstemmed | Soliton equations and their algebro-geometric solutions 2 (1 + 1)-dimensional discrete models Fritz Gesztesy ; Helge Holden |
| title_short | Soliton equations and their algebro-geometric solutions |
| title_sort | soliton equations and their algebro geometric solutions 1 1 dimensional discrete models |
| topic | Wellengleichung (DE-588)4065315-8 gnd Soliton (DE-588)4135213-0 gnd Lösung Mathematik (DE-588)4120678-2 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| topic_facet | Wellengleichung Soliton Lösung Mathematik Algebraische Geometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016737883&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV014629969 (DE-604)BV000003678 |
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