What Is Integrability? (Springer Series in Nonlinear Dynamics)




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Plot : This monograph deals with integrable dynamic systems with an infinite number of degrees of freedom. Leading scientists were invited to discuss the notion of integrability with two main points in mind: 1. a presentation of the various recently elaborated methods for determining whether a given system is integrable or not 2. to understand the increasingly more important role of integrable systems in modern applied mathematics and theoretical physics. Topics dealt with include: the applicability and integrability of "universal" nonlinear wave models (Calogero) perturbation theory for translational invariant nonlinear Hamiltonian systems (in 21d) with an additional integral of motion (Zakharov, Schulman) the role of the Painlev test for ordinary (Ercolani, Siggia) and partial differential (Newell, Tabor) equations the theory of integrable maps in a plane (Veselov) and the theory of the KdV equation with nonvanishing boundary conditions at infinity (Marchenko).



Author(s) Book :Vladimir E. Zakharov; F. Calogero; N. Ercolani; H. Flaschka; V.A. Marchenko; A.V. Mikhailov; A.C. Newell; E.I. Schulman; A.B. Shabat; E.D. Siggia; V.V. Sokolov; M. Tabor; A.P. Veselov; V.E. Zakharov
E-Book Categories :Applied
Publish Year :1991 Publisher : Springer
You can check by ISBN10: 3540519645; ISBN13: 9783540519645
Pages :321

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