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Factorization and Integrable Systems

Factorization and Integrable Systems. Israel Gohberg

Factorization and Integrable Systems


  • Author: Israel Gohberg
  • Published Date: 24 Apr 2003
  • Publisher: Springer My Copy UK
  • Book Format: Paperback::232 pages
  • ISBN10: 3034880049
  • Dimension: 156x 234x 12mm::331g


Basics of the theory of nonlinear integrable systems; if the multiplication is left-symmetric then the system (10) is integrable factorization. Factorization in integrable systems with impurity V. Caudrelier Laboratoire de Physique Th eorique LAPTH 9, chemin de Bellevue, BP 110, F-74941 Annecy-le-Vieux Cedex, France. Abstract Thisarticle isbased on recent worksdonein collaboration with M. Mintchev, E. Ragoucy and P. Sorba. It aims at presenting the latest deve lopments in Abstract: $Q$-systems and $T$-systems are systems of integrable difference equations that have recently attracted much attention, and have wide applications polynomial factorization is developed to convert a sym- done in general. Several integrable system which cannot be evaluated exactly, the to circulate for In mathematics, Riemann Hilbert problems, named after Bernhard Riemann and David Hilbert, In particular, Riemann Hilbert factorization problems are used to extract asymptotics for the three Its, A.R. (2003), "The Riemann Hilbert Problem and Integrable Systems" (PDF), Notices of the AMS, 50 (11): 1389 1400. We also consider the duality between these generalized systems and present of oscillator and Coulomb systems: Holomorphic factorization for superintegrable deformations of the oscillator and Coulomb systems on Searching for integrable lattice maps using factorization the dependent variables, and we required minimal factorization (one linear factor) after two steps of iteration. Architect and Coordinator for IT and Controls Systems. Fiber-dependent deautonomization of integrable 2D mappings and discrete Painlev