عنوان
پدید آورنده
موضوع
رده
QC19.2 .C66 2017
QC19
.
2
.
C66
2017
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
3030048071
(Number (ISBN
9783030048075
Erroneous ISBN
9783030048068
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Recent developments in integrable systems and related topics of mathematical physics :
General Material Designation
[Book]
Other Title Information
Kezenoi-Am, Russia 2016 /
First Statement of Responsibility
Victor M. Buchstaber, Sotiris Konstantinou-Rizos, Alexander V. Mikhailov, editors.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cham, Switzerland :
Name of Publisher, Distributor, etc.
Springer,
Date of Publication, Distribution, etc.
[2018]
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource
SERIES
Series Title
Springer proceedings in mathematics and statistics ;
Volume Designation
volume 273
GENERAL NOTES
Text of Note
2.1 Argument Shift on a Manifold
CONTENTS NOTE
Text of Note
Intro; Preface; Contents; Contributors; Acronyms; Introduction; Numerical Instability of the Akhmediev Breather and a Finite-Gap Model of It; 1 Introduction; 2 A Short Summary of Finite Gap Results; 3 The Numerical Instability of the Akhmediev Breather; 4 Numerical Experiments; 4.1 Effect of the Time Step; 4.2 Effect of Round-Off Errors; 4.3 Effect of the Cauchy Data; 4.4 Effect of the x-Grid Size; 5 Conclusions; References; Movable Poles of Painlevé I Transcendents and Singularities of Monodromy Data Manifolds; 1 Introduction; 2 Poles Parametrization in General Case
Text of Note
2.2 Sklyanin Elliptic and Poisson Algebras2.3 Algebra Qn(Y,); 3 q5,k(Y)-Poisson Tensors; 3.1 Why n=5?; 3.2 H-Invariancy; 4 Cremona Transformation; 4.1 Generalities about Cremona Transformations; 4.2 Case n=4. Cremona transformation and Elliptic Curves.; 4.3 Quadro-Cubic Cremona Transformations; 4.4 A Remark on the Compatibility; 5 Klein and Moore Syzygies and Poisson Structures; 5.1 Klein Syzygy and Free Resolution Complex.; 5.2 Poisson Structure on P4 from Syzygies; 5.3 Moore Syzygies and Corresponding 3-Folds.; 5.4 Poisson Structure on P4 from Moore Syzygies
Text of Note
3 Group Law and New Integrable Systems on the Plane3.1 Hénon-Heiles System; 3.2 System with Quartic Potential; 4 Equivalence Relations and New Integrable Systems on the Plane; 4.1 Separation of Variables and Abel Differential Equation; 4.2 Construction of the New Integrable System on T*R; 4.3 Other New Integrable Systems on the Plane; 5 Conclusion; References; Quadro-Cubic Cremona Transformations and Feigin-Odesskii-Sklyanin Algebras with 5 Generators; 1 Introduction; 2 Poisson Algebras and Elliptic Poisson Algebras; 2.1 Poisson Algebras on Affine Varieties
Text of Note
3 Singularities of the Monodromy Manifold P14 Truncated Solutions of PI Equation; 4.1 1-Truncated Solutions; 4.2 2-Truncated Solutions; 5 Formation of Truncated Solutions; References; Elliptic Calogero-Moser Hamiltonians and Compatible Poisson Brackets; 1 Introduction; 2 Polynomial Forms for Elliptic Quantum Calogero-Moser Hamiltonians; 3 Classical Case; 4 Conclusion; References; Bäcklund Transformations and New Integrable Systems on the Plane; 1 Introduction; 2 Divisor Arithmetic on Hyperelliptic Curves; 2.1 Some Explicit Formulae for Arithmetic on Genus 2 Hyperelliptic Curves
Text of Note
5.5 ``Quantum'' Cremona TransformationsReferences; From Reflection Equation Algebra to Braided Yangians; 1 Introduction; 2 Braidings: Definitions and Properties; 3 Braided Lie Algebras and their Affinization; 4 Characteristic Polynomials for Generating Matrices; 5 Braided Yangians; 6 Shifted Braided q-Yangian and its q=1 Limit; References; Survey of the Deformation Quantization of Commutative Families; 1 Introduction; 1.1 The Main Question; 1.2 Argument Shift Method and Enveloping Algebras; 1.3 Presentation and Organization of the Text; 2 The Argument Shift Method and Nijenhuis Operators
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8
8
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SUMMARY OR ABSTRACT
Text of Note
This volume, whose contributors include leading researchers in their field, covers a wide range of topics surrounding Integrable Systems, from theoretical developments to applications. Comprising a unique collection of research articles and surveys, the book aims to serve as a bridge between the various areas of Mathematics related to Integrable Systems and Mathematical Physics. Recommended for postgraduate students and early career researchers who aim to acquire knowledge in this area in preparation for further research, this book is also suitable for established researchers aiming to get up to speed with recent developments in the area, and may very well be used as a guide for further study.--
ACQUISITION INFORMATION NOTE
Source for Acquisition/Subscription Address
Springer Nature
Stock Number
com.springer.onix.9783030048075
OTHER EDITION IN ANOTHER MEDIUM
Title
Recent Developments in Integrable Systems and Related Topics of Mathematical Physics : Kezenoi-Am, Russia 2016.
International Standard Book Number
9783030048068
TOPICAL NAME USED AS SUBJECT
Mathematical physics, Congresses.
Mathematical physics.
(SUBJECT CATEGORY (Provisional
PHU
PHU
SCI040000
DEWEY DECIMAL CLASSIFICATION
Number
530
.
15
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QC19
.
2
Book number
.
C66
2017
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Buchstaber, V. M.
Konstantinou-Rizos, Sotiris
Mikhailov, Alexander V.,1953-
CORPORATE BODY NAME - PRIMARY RESPONSIBILITY
Conference of Mathematical Physics(2017 :, Grozny, Russia)
ORIGINATING SOURCE
Date of Transaction
20200823080938.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
