Lectures on integrable systems

Mainly drawing on explicit examples, the author introduces the reader to themost recent techniques to study finite and infinite dynamical systems. Without any knowledge of differential geometry or lie groups theory the student can follow in a series of case studies the most recent developments. r-ma...

Deskribapen osoa

Gorde:
Xehetasun bibliografikoak
Egile nagusia: Hoppe, Jens
Formatua: Livre numérique
Hizkuntza:Anglais
Argitaratua: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Saila:Lecture notes in physics. M, Monographs 10
Gaiak:
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Oharra: Archives Springer e-books (Licence nationale)
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Lectures on integrable systems, Jens Hoppe, Berlin, Springer-Verlag, 1992, 1 vol. (111 p.), Lecture notes in physics, 0-387-55700-8
• Lectures on Integrable Systems, Texte imprimé, 9783662138816
• Lectures on Integrable Systems, Texte imprimé, 9783662138823
Aurkibidea:
  • The Projection Method of Olshanetsky and Perelomov
  • Classical Integrability of the Calogero-Moser Systems
  • Solution of a Quantum Mechanical N-Body Problem
  • Algebraic Approach to x 2 + ?/x 2 Interactions
  • Some Hamiltonian Mechanics
  • The Classical Non-Periodic Toda Lattice
  • r-Matrices and Yang Baxter Equations
  • Integrable Systems and gl(?)
  • Infinite Dimensional Toda Systems
  • Integrable Field Theories from Poisson Algebras
  • Generalized Garnier Systems and Membranes
  • Differential Lax Operators
  • First Order Differential Matrix Lax Operators and Drinfeld-Sokolov Reduction
  • Zero Curvature Conditions on W ?, Trigonometrical and Universal Enveloping Algebras
  • Spectral Transform and Solitons
  • Higher Dimensional ?-Functions.