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Integrable systems and applications : proceedings of a workshop, held at Oléron, France, June 20-24, 1988 /

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In this volume nonlinear systems related to integrable systems are studied. Lectures cover such topics as the application of integrable systems to the description of natural phenomena, the elaboration of perturbation theories, and the statistical mechanics of ensembles of objects obeying integrable...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Balabane, M. (Mikhael), 1949-, Lochak, P. (Pierre), Sulem, C. (Catherine), 1957-
Format: eBook
Language:English
Published: Berlin ; New York : Springer-Verlag, [1989]
Series:Lecture notes in physics ; 342.
Subjects:
Differential equations, Partial > Congresses.
Nonlinear theories > Congresses.
Hamiltonian systems > Congresses.
Solitons > Congresses.
Differential equations, Partial.
Hamiltonian systems.
Nonlinear theories.
Solitons.
Integrables System.
Kongress.
Nichtlineares System.
Mathematische Physik.
Nichtlineares Differentialgleichungssystem.
Electronic books.
Conference proceedings.
Online Access:Connect to the full text of this electronic book
Description
Summary:In this volume nonlinear systems related to integrable systems are studied. Lectures cover such topics as the application of integrable systems to the description of natural phenomena, the elaboration of perturbation theories, and the statistical mechanics of ensembles of objects obeying integrable equations. The more physical lectures center largely around the three paradigmatic equations: Korteweg de Vries, Sine-Gordon and Nonlinear Schrdinger, especially the latter. These have long been of great mathematical interest, and also exhibit a "universality" which places them among the most frequently encountered integrable equations in the description of physical systems. Tidal waves, optical fibers and laser beams are among the topics discussed. Lectures are also devoted to multidimensional solitons, integrability of Hamiltonian systems of ODEs and dissipative systems of PDEs.
Item Description:Electronic resource.
Physical Description:1 online resource (vii, 342 pages) : illustrations.
Format:Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Bibliography:Includes bibliographical references.
ISBN:9783540467144 (electronic bk.)
3540467149 (electronic bk.)
ISSN:1616-6361 ;