Recent Developments in Integrable Systems and Related Topics of Mathematical Physics - Kezenoi-Am, Russia, 2016

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.

List of contents

Victor Buchstaber, Sotiris Konstantinou-Rizos and Alexander Mikhailov, Introduction.- P. G. Grinevich and P. M. Santini, Numerical instability of the Akhmediev breather and a finite-gap model of it.- V.Yu. Novokshenov, Movable poles of Painlevé I transcendents and singularities of monodromy data manifolds.- Vladimir Sokolov, Elliptic Calogero-Moser Hamiltonians and compatible Poisson brackets.- A.V. Tsiganov, Bäcklund transformations and new integrable systems on the plane.- V. Rubtsov, Quadro-cubic Cremona transformations and Feigin-Odesskii-Sklyanin algebras with 5 generators.- Dimitri Gurevich and Pavel Saponov, From Reflection Equation Algebra to Braided Yangians.- G. Sharygin and A. Konyaev, Survey of the Deformation Quantization of Commutative Families.- Dmitry Millionshchikov, Graded Thread Modules over the Positive Part of the Witt (Virasoro) Algebra.- Andrei Shafarevich, Localized solutions of the Schrödinger equation on hybrid spaces. Relation to the behavior of geodesics andto analytic number theory.- A. V. Fursikov, Normal equation generated from Helmholtz system: nonlocal stabilization by starting control and properties of stabilized solutions.

Summary

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

Product details

• Assisted by: Victor M. Buchstaber (Editor), Sotiri Konstantinou-Rizos (Editor), Sotiris Konstantinou-Rizos (Editor), Alexander V. Mikhailov (Editor), Alexander V Mikhailov (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 01.01.2018
• EAN: 9783030048068
• ISBN: 978-3-0-3004806-8
• No. of pages: 216
• Dimensions: 156 mm x 241 mm x 19 mm
• Weight: 496 g
• Illustrations: XI, 216 p. 19 illus., 13 illus. in color.
• Series: Springer Proceedings in Mathematics & Statistics; Springer Proceedings in Mathematics & Statistics
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Theoretical physics; C, Funktionalanalysis und Abwandlungen, Physics, Mathematics and Statistics, Mathematical physics, Mathematical Methods in Physics, Special Functions, Functional analysis & transforms, Braided Yangians, Quadro-Cubic Cremona Transformations, Backlund Transformations, Witt Virasoro Algebra