Integrable Hamiltonian hierarchies:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Heidelberg
Springer
2008
|
| Schriftenreihe: | Lecture notes in physics
748 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | XI, 643 S. 24 cm |
| ISBN: | 9783540770534 9783540770541 |
Internformat
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| 245 | 1 | 0 | |a Integrable Hamiltonian hierarchies |c V. S. Gerdjikov ... (eds.) |
| 264 | 1 | |a Berlin ; Heidelberg |b Springer |c 2008 | |
| 300 | |a XI, 643 S. |c 24 cm | ||
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| 700 | 1 | |a Gerdjikov, Vladimir S. |e Sonstige |4 oth | |
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Datensatz im Suchindex
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| adam_text | CONTENTS PART I INTEGRABLE HAMILTONIAN HIERARCHIES: SPECTRAL METHODS
INTRODUCTION 3 1.1 BRIEF HISTORICAL OVERVIEW 3 1.2 FUNDAMENTAL
PROPERTIES OF THE SOLITON EQUATIONS 7 1.2.1 SOLVING NONLINEAR CAUCHY
PROBLEMS 7 1.2.2 HIERARCHIES OF SOLITON EQUATIONS 9 1.2.3 LINEARIZED
NLEE AND FOURIER TRANSFORM 9 1.2.4 INTEGRALS OF MOTION 11 1.2.5 SOLITON
SOLUTIONS AND SOLITON INTERACTIONS 11 1.2.6 HAMILTONIAN HIERARCHIES 12
1.2.7 EXACT INTEGRABILITY AND ACTION-ANGLE VARIABLES 14 1.2.8 THE
HIERARCHY OF BACKLUND AND DARBOUX TRANSFORMATIONS 14 1.2.9 GAUGE
EQUIVALENT HIERARCHIES 16 1.3 THE ISM AS THE GENERALIZED FOURIER
TRANSFORM 17 1.4 RELATED DEVELOPMENTS, BIBLIOGRAPHY AND COMMENTS 26
REFERENCES 26 THE LAX REPRESENTATION AND THE AKNS APPROACH 37 2.1 THE
LAX REPRESENTATION IN THE AKNS APPROACH 37 2.2 THE RECURSION OPERATORS
AND THE NLEE 41 2.3 EVOLUTION OF THE SCATTERING DATA 43 2.4
GENERALIZATIONS OF THE AKNS METHOD I 46 2.5 GENERALIZATIONS OF THE AKNS
METHOD II 52 2.6 COMMENTS AND BIBLIOGRAPHICAL REVIEW 58 REFERENCES 61
GESCANNT DURCH BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/986280631
DIGITALISIERT DURCH * * * * * * * * * 637 XII CONTENTS 16 LINEAR BUNDLES
OF LIE ALGEBRAS AND COMPATIBLE POISSON STRUCTURES 547 16.1 PRELIMINARIES
547 16.2 GENERAL PROPERTIES 549 16.3 CONSTRUCTION OF CLOSED LINEAR
BUNDLES OF LIE ALGEBRAS 556 16.4 POISSON-LIE TENSORS OVER THE ALGEBRAS
QS 562 16.5 FINITE DIMENSIONAL APPLICATIONS 564 16.5.1 THE CLEBSH AND
THE NEUMANN SYSTEM 564 16.5.2 THE ALGEBRA O (4) 569 16.6 THE CHIRAL
FIELDS HIERARCHY AND THE ASSOCIATED RECURSION OPERATORS 578 16.7
POLYNOMIAL LAX REPRESENTATION OF THE LANDAU-LIFSHITZ HIERARCHY 582 16.8
RECURSION OPERATORS FOR LLP HIERARCHY 589 16.9 LLP HIERARCHY - THE
POISSON-NIJENHUIS STRUCTURE 596 16.10 CHIRAL FIELDS HIERARCHY : THE
POISSON-NIJENHUIS STRUCTURE .... 601 REFERENCES 610 APPENDIX:
GENERALIZATIONS 613 A.I ALGEBRAIC APPROACH TO INTEGRABILITY 613 A.I.I
ALGEBRAIC DIFFERENTIABLE CALCULUS 614 A. 1.2 POISSON RINGS,
BI-HAMILTONIAN SYSTEMS AND NIJENHUIS TENSORS 617 A.2 INTEGRABILITY OF
DYNAMICS WITH FERMIONIC VARIABLES 624 A.2.1 GRADED DIFFERENTIAL CALCULUS
625 A.2.2 POISSON SUPERMANIFOLDS AND SUPER NIJENHUIS TENSORS . 628
REFERENCES 633 ABBREVIATIONS 635 INDEX
|
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| id | DE-604.BV035214920 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T21:28:46Z |
| institution | BVB |
| isbn | 9783540770534 9783540770541 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017021092 |
| oclc_num | 634341779 |
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| owner | DE-384 DE-11 |
| owner_facet | DE-384 DE-11 |
| physical | XI, 643 S. 24 cm |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in physics |
| series2 | Lecture notes in physics |
| spelling | Integrable Hamiltonian hierarchies V. S. Gerdjikov ... (eds.) Berlin ; Heidelberg Springer 2008 XI, 643 S. 24 cm txt rdacontent n rdamedia nc rdacarrier Lecture notes in physics 748 Literaturangaben Rekursionsoperator (DE-588)4436515-9 gnd rswk-swf Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd rswk-swf Hamiltonsches System (DE-588)4139943-2 gnd rswk-swf Hamiltonsches System (DE-588)4139943-2 s DE-604 Nichtlineare Evolutionsgleichung (DE-588)4221363-0 s Rekursionsoperator (DE-588)4436515-9 s Gerdjikov, Vladimir S. Sonstige oth Lecture notes in physics 748 (DE-604)BV000003166 748 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017021092&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Integrable Hamiltonian hierarchies Lecture notes in physics Rekursionsoperator (DE-588)4436515-9 gnd Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd Hamiltonsches System (DE-588)4139943-2 gnd |
| subject_GND | (DE-588)4436515-9 (DE-588)4221363-0 (DE-588)4139943-2 |
| title | Integrable Hamiltonian hierarchies |
| title_auth | Integrable Hamiltonian hierarchies |
| title_exact_search | Integrable Hamiltonian hierarchies |
| title_full | Integrable Hamiltonian hierarchies V. S. Gerdjikov ... (eds.) |
| title_fullStr | Integrable Hamiltonian hierarchies V. S. Gerdjikov ... (eds.) |
| title_full_unstemmed | Integrable Hamiltonian hierarchies V. S. Gerdjikov ... (eds.) |
| title_short | Integrable Hamiltonian hierarchies |
| title_sort | integrable hamiltonian hierarchies |
| topic | Rekursionsoperator (DE-588)4436515-9 gnd Nichtlineare Evolutionsgleichung (DE-588)4221363-0 gnd Hamiltonsches System (DE-588)4139943-2 gnd |
| topic_facet | Rekursionsoperator Nichtlineare Evolutionsgleichung Hamiltonsches System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017021092&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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