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A Memoir on Integrable Systems

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Published by Springer .
Written in English

Subjects:

  • Integral equations,
  • Linear algebra,
  • Theoretical methods,
  • Group Theory,
  • Differentiable Dynamical Systems,
  • Global Analysis,
  • Mathematics,
  • Science/Mathematics,
  • Mathematical Analysis,
  • Geometry - Algebraic,
  • Abelian varieties,
  • Integrable systems,
  • Lax pairs,
  • Mathematics / Mathematical Analysis,
  • tensor invariants,
  • theta-functions,
  • Differential Equations

Book details:

Edition Notes

ContributionsYu. Fedorov (Translator)
The Physical Object
FormatHardcover
Number of Pages280
ID Numbers
Open LibraryOL9061449M
ISBN 103540590005
ISBN 109783540590002

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A Memoir on Integrable Systems 作者: Fedorov, Yuri 出版社: Springer Verlag 页数: 定价: $ 装帧: HRD ISBN: 豆瓣评分. “Systems Thinking is a mixed bag of holistic, balanced and often abstract thinking to understand things profoundly and solve problems systematically.” ― Pearl Zhu, Problem Solving Master: Frame Problems Systematically and Solve Problem Creatively. Integrable Hamiltonian systems have been of growing interest over the past 30 years and represent one of the most intriguing and mysterious classes of dynamical systems. This book explores the topology of integrable systems and the general theory underlying their qualitative properties, singularites, and topological by: This volume is the result of two international workshops; Infinite Analysis 11 – Frontier of Integrability – held at University of Tokyo, Japan in July 25th to 29th, , and Symmetries, Integrable Systems and Representations held at Université Claude Bernard Lyon 1, France in December 13th to 16th, Included are research articles based on the talks presented at the workshops Brand: Springer London.

Even this doesn't capture his breadth, one that ranges from shock waves, solitons and scattering theory to Lax pairs, integrable systems and the axiomatic treatment of hyperbolicity. The book is not all about mathematics. We also learn a good deal about Lax's personal life, his family and his interests -- which include a serious interest in /5(3).   The book particularly explains much of the mystery surrounding the Kepler problem, the Jacobi problem and the Kovalevskaya Top. It also reveals the ubiquitous presence of elastic curves in integrable systems up to the soliton solutions of the non-linear Schroedinger's : Cambridge University Press. I would be interested in a good mathematician-friendly introduction to integrable models in physics, either a book or expository article. Related MathOverflow question: what-is-an-integrable-system. This memoir gives an introduction to Hamiltonian dynamical systems on symplectic manifolds, including definitions of Hamiltonian vector fields, Poisson brackets, integrals of motion, complete integrability, and ergodicity. A particularly complete treatment of action-angle coordinates is given.

Get this from a library! Integrable systems and Riemann surfaces of infinite genus. [Martin U Schmidt] -- This memoir develops the spectral theory of the Lax operators of nonlinear Schrödinger-like partial differential equations with periodic boundary conditions. Their special curves, i.e., the common. The Guardian - Back to home. Book of the day Things I Learned from Falling review – desert hike, A memoir by the Young Vic’s artistic director, a love affair in s Poland, and the. This memoir develops the spectral theory of the Lax operators of nonlinear Schrödinger-like partial differential equations with periodic boundary conditions. Their spectral curves, i.e., the common spectrum with the periodic shifts, are generically Riemann surfaces of infinite genus. The points corresponding to infinite energy are added. C-Integrable Generalization of a System of Nonlinear PDE's Describing Nonresonant N-Wave Interactions.- The Burgers Equation: Initial/Boundary Value Problems on the Semiline.- IV Algebraic Approach to Integrability and Hamiltonian Theory.- The Tangent Bundle for Multisolitons: Ideal Structure for Completely Integrable Systems