Integrable systems and applications
Subtitle: proceedings of a workshop, held at Oléron, France, June 20-24, 1988
By: M. Balabane, P. Lochak, C. Sulem, eds.
Contributors: Balabane, M. 1949-; Lochak, P.; Sulem, C. 1957-
Series: Lecture notes in physics ;; 342
Publisher: Springer-Verlag
Published: 1989
Place of publication: Berlin; New York
Language: eng
Number of pages: 342
Subjects: Differential equations, Partial -- Congresses.; Nonlinear theories -- Congresses.; Hamiltonian systems -- Congresses.; Solitons -- Congresses.
Description: 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.
Notes: Includes bibliographical references.