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Recent Developments in Integrable Systems and Related Topics of Mathematical Physics

Kezenoi-Am, Russia, 2016

  • Conference proceedings
  • © 2018

Overview

Editors:
  1. Victor M. Buchstaber

    1. Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia

  2. Sotiris Konstantinou-Rizos

    1. Centre of Integrable Systems, P.G. Demidov Yaroslavl State University, Yaroslavl, Russia

  3. Alexander V. Mikhailov

    1. School of Mathematics, University of Leeds, Leeds, UK

  • Provides the reader with recent developments in Integrable Systems
  • Elucidates relationships between previously unrelated areas in Mathematics and Mathematical Physics
  • Includes methods from algebraic geometry and Lie theory to partial differential equations and theoretical physics

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 273)

Included in the following conference series:

Conference proceedings info: MP 2016.

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  • 4 Citations

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About this book

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.

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Table of contents (11 papers)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Introduction

    • Victor M. Buchstaber, Sotiris Konstantinou-Rizos, Alexander V. Mikhailov
    Pages 1-2

  3. Numerical Instability of the Akhmediev Breather and a Finite-Gap Model of It

    • P. G. Grinevich, P. M. Santini
    Pages 3-23

  4. Movable Poles of Painlevé I Transcendents and Singularities of Monodromy Data Manifolds

    • V. Yu. Novokshenov
    Pages 24-37

  5. Elliptic Calogero-Moser Hamiltonians and Compatible Poisson Brackets

    • Vladimir Sokolov
    Pages 38-46

  6. Bäcklund Transformations and New Integrable Systems on the Plane

    • A. V. Tsiganov
    Pages 47-74

  7. Quadro-Cubic Cremona Transformations and Feigin-Odesskii-Sklyanin Algebras with 5 Generators

    • V. Rubtsov
    Pages 75-106

  8. From Reflection Equation Algebra to Braided Yangians

    • Dimitri Gurevich, Pavel Saponov
    Pages 107-129

  9. Survey of the Deformation Quantization of Commutative Families

    • G. Sharygin, A. Konyaev
    Pages 130-153

  10. Graded Thread Modules Over the Positive Part of the Witt (Virasoro) Algebra

    • Dmitry Millionshchikov
    Pages 154-182

  11. Localized Solutions of the Schrödinger Equation on Hybrid Spaces. Relation to the Behavior of Geodesics and to Analytic Number Theory

    • Andrei Shafarevich
    Pages 183-193

  12. Normal Equation Generated from Helmholtz System: Nonlocal Stabilization by Starting Control and Properties of Stabilized Solutions

    • A. V. Fursikov
    Pages 194-211

  13. Back Matter

    Pages 213-216
    Download chapter PDF
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Other volumes

  1. Recent Developments in Integrable Systems and Related Topics of Mathematical Physics

Editors and Affiliations

  • Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia

    Victor M. Buchstaber

  • Centre of Integrable Systems, P.G. Demidov Yaroslavl State University, Yaroslavl, Russia

    Sotiris Konstantinou-Rizos

  • School of Mathematics, University of Leeds, Leeds, UK

    Alexander V. Mikhailov

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