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Integrable Systems and Applications
Mikhael Balabane
其他書名
Proceedings of a Workshop, Held at Oléron, France, June 20-24, 1988
出版Springer-Verlag, 1989
ISBN03875161589780387516158
URLhttp://books.google.com.hk/books?id=B82xAAAAIAAJ&hl=&source=gbs_api
註釋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.