Integrable Systems and Applications [electronic resource] : Proceedings of a Workshop Held at Oléron, France June 20–24, 1988 /

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 Schrödinger, 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.

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Bibliographic Details
Main Authors: Balabane, M. editor., Lochak, P. editor., Sulem, C. editor., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 1989
Subjects:Physics., Mathematical analysis., Analysis (Mathematics)., Quantum physics., Quantum computers., Spintronics., Quantum Physics., Quantum Information Technology, Spintronics., Analysis.,
Online Access:http://dx.doi.org/10.1007/BFb0035656
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