What Is Integrability?

Description

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 2+1d) with an additional integral of motion (Zakharov, Schulman); the role of the Painlevé 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 non-vanishing boundary conditions at infinity (Marchenko).

Subjects

Series Statement

• Springer Series in Nonlinear Dynamics, 0940-2535

Links

• SpringerLink

Other Editions

• What Is Integrability?[electronic resource] /Springer Berlin Heidelberg1991-01-01
• What Is Integrability?PaperbackSpringer2012-04-27
• What Is Integrability?PaperbackSpringer2012-05-04