Recent Developments in Integrable Systems and Related Topics of Mathematical Physics

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

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

Inhalt
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.