ENGLISH

What is integrability?

By V. E. Zakharov

Book information

Publisher
Springer-Verlag
Year
1991
ISBN
0387519645, 9780387519647
LCC
QC20.7.D5 W43 1990
Open Library ID
OL1877956M
Language
english
Format
DJVU
Filesize
3 MB (3485149 bytes)
Series
Springer series in nonlinear dynamics
Pages
167\167
Library
Kolxo3
DPI
300
Scanned
landscape
Time added
2009-07-20 03:45:11

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).

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