Recent Developments in Integrable Systems and Related Topics of Mathematical Physics

Kezenoi-Am, Russia, 2016

Victor M. Buchstaber, Sotiris Konstantinou-Rizos, Alexander V. Mikhailov (Herausgeber)

Buch | Hardcover

XI, 216 Seiten

2018 | 1st ed. 2018
Springer International Publishing (Verlag)
978-3-030-04806-8 (ISBN)

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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.

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.

Erscheinungsdatum	01.01.2019
Reihe/Serie	Springer Proceedings in Mathematics & Statistics
Zusatzinfo	XI, 216 p. 19 illus., 13 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	499 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Akhmediev Breathers • Backlund Transformations • Braided Yangians • Elliptic Calogero-Moser Hamiltonian • Hamiltonian systems • Integrable Systems • Navier-Stokes Type Equations • Painleve equations • Quadro-Cubic Cremona Transformations • Quantization • Witt Virasoro Algebra
ISBN-10	3-030-04806-3 / 3030048063
ISBN-13	978-3-030-04806-8 / 9783030048068
Zustand	Neuware