Holdings: Integrable Hamiltonian hierarchies

Integrable Hamiltonian hierarchies:

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Bibliographic Details
Format:	Book
Language:	English
Published:	Berlin ; Heidelberg Springer 2008
Series:	Lecture notes in physics 748
Subjects:	Rekursionsoperator Nichtlineare Evolutionsgleichung Hamiltonsches System
Online Access:	Inhaltsverzeichnis
Item Description:	Literaturangaben
Physical Description:	XI, 643 S. 24 cm
ISBN:	9783540770534 9783540770541

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MARC


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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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indexdate	2024-07-09T21:28:46Z
institution	BVB
isbn	9783540770534 9783540770541
language	English
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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
volume_link	(DE-604)BV000003166
work_keys_str_mv	AT gerdjikovvladimirs integrablehamiltonianhierarchies

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