The Resource Integrable Hamiltonian Hierarchies : Spectral and Geometric Methods, by Vladimir Gerdjikov, Gaetano Vilasi, Alexandar Borisov Yanovski, (electronic resource)

Integrable Hamiltonian Hierarchies : Spectral and Geometric Methods, by Vladimir Gerdjikov, Gaetano Vilasi, Alexandar Borisov Yanovski, (electronic resource)

Label
Integrable Hamiltonian Hierarchies : Spectral and Geometric Methods
Title
Integrable Hamiltonian Hierarchies
Title remainder
Spectral and Geometric Methods
Statement of responsibility
by Vladimir Gerdjikov, Gaetano Vilasi, Alexandar Borisov Yanovski
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
This book presents a detailed derivation of the spectral properties of the Recursion Operators allowing one to derive all the fundamental properties of the soliton equations and to study their Hamiltonian hierarchies. Thus it is demonstrated that the inverse scattering method for solving soliton equations is a nonlinear generalization of the Fourier transform. The book brings together the spectral and the geometric approaches and as such will be useful to a wide readership: from researchers in the field of nonlinear completely integrable evolution equations to graduate and post-graduate students
Member of
Is Subseries of
http://library.link/vocab/creatorName
Gerdjikov, Vladimir
Dewey number
515.39
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • PoqJiC5AtVw
  • ow0zsfsN5RU
  • 28eqtcs1NKQ
Image bit depth
0
Language note
English
LC call number
QC5.53
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Vilasi, Gaetano.
  • Yanovski, Alexandar Borisov.
Series statement
Lecture Notes in Physics,
Series volume
748
http://library.link/vocab/subjectName
  • Mathematical physics
  • Global analysis (Mathematics)
  • Geometry
  • Physics
  • Mathematical Methods in Physics
  • Analysis
  • Theoretical, Mathematical and Computational Physics
  • Geometry
  • Physics, general
Label
Integrable Hamiltonian Hierarchies : Spectral and Geometric Methods, by Vladimir Gerdjikov, Gaetano Vilasi, Alexandar Borisov Yanovski, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
Contents
Integrable Hamiltonian Hierarchies: Spectral Methods -- The Lax Representation and the AKNS Approach -- The Direct Scattering Problem for theZakharov–Shabat System -- The Inverse Scattering Problem for the Zakharov–Shabat System -- The Generalized Fourier Transforms -- Fundamental Properties of the solvable NLEEs -- Hierarchies of Hamiltonian structures -- The NLEEs and the Gauge Transformations -- The Classical r-Matrix Method -- Integrable Hamiltonian Hierarchies: Geometric Theory of the Recursion Operators -- Smooth Manifolds -- Hamiltonian Dynamics -- Vector-Valued Differential Forms -- Integrability and Nijenhuis Tensors -- Poisson–Nijenhuis structures Related to the Generalized Zakharov–Shabat System -- Linear Bundles of Lie Algebras and Compatible Poisson Structures
Dimensions
unknown
Edition
1st ed. 2008.
Extent
1 online resource (XII, 643 p.)
File format
multiple file formats
Form of item
online
Isbn
9783540770541
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/978-3-540-77054-1
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)1000000000546690
  • (SSID)ssj0000318337
  • (PQKBManifestationID)11249831
  • (PQKBTitleCode)TC0000318337
  • (PQKBWorkID)10308183
  • (PQKB)11100270
  • (DE-He213)978-3-540-77054-1
  • (MiAaPQ)EBC3063793
  • (EXLCZ)991000000000546690
Label
Integrable Hamiltonian Hierarchies : Spectral and Geometric Methods, by Vladimir Gerdjikov, Gaetano Vilasi, Alexandar Borisov Yanovski, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
Contents
Integrable Hamiltonian Hierarchies: Spectral Methods -- The Lax Representation and the AKNS Approach -- The Direct Scattering Problem for theZakharov–Shabat System -- The Inverse Scattering Problem for the Zakharov–Shabat System -- The Generalized Fourier Transforms -- Fundamental Properties of the solvable NLEEs -- Hierarchies of Hamiltonian structures -- The NLEEs and the Gauge Transformations -- The Classical r-Matrix Method -- Integrable Hamiltonian Hierarchies: Geometric Theory of the Recursion Operators -- Smooth Manifolds -- Hamiltonian Dynamics -- Vector-Valued Differential Forms -- Integrability and Nijenhuis Tensors -- Poisson–Nijenhuis structures Related to the Generalized Zakharov–Shabat System -- Linear Bundles of Lie Algebras and Compatible Poisson Structures
Dimensions
unknown
Edition
1st ed. 2008.
Extent
1 online resource (XII, 643 p.)
File format
multiple file formats
Form of item
online
Isbn
9783540770541
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/978-3-540-77054-1
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)1000000000546690
  • (SSID)ssj0000318337
  • (PQKBManifestationID)11249831
  • (PQKBTitleCode)TC0000318337
  • (PQKBWorkID)10308183
  • (PQKB)11100270
  • (DE-He213)978-3-540-77054-1
  • (MiAaPQ)EBC3063793
  • (EXLCZ)991000000000546690

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