Integrable Systems and Applications: Proceedings of a Workshop Held at Oléron, France, June 20–24, 1988 (Lecture Notes in Physics) - Hardcover

Mikhael Balabane Catherine Sulem,Pierre Lochak

Hardcover

ISBN 10: 3540516158 ISBN 13: 9783540516156

Publisher: Springer, 1989

Synopsis

Global solutions to non linear Dirac equations in Minkowski space.- Statistical mechanics of the NLS models and their avatars.- Asymptotic behavior of solutions and universal attractors for a system of nonlinear hyperbolic equations.- Solitons in two dimensions.- Nonlinear wave propagation through a random medium and soliton tunneling.- Trace formulae and singular spectra for the Schrödinger operator.- Hunting of the quarton.- Nekhoroshev's theorem and particle channeling in crystals.- Linearized maps for the Davey-Stewartson I equation.- On the role of nonlinearities in classical electrodynamics.- Upper bounds on the Lyapunov exponents for dissipative perturbations of infinite dimensional Hamiltonian systems.- The Cauchy problem for the generalized Korteweg-de-Vries equation.- Effective stability in Hamiltonian systems in the light of Nekhoroshev's theorem.- Analysis of the linearization around a critical point of an infinite dimensional Hamiltonian system.- On numerical chaos in the nonlinear Schrödinger equation.- Singular solutions of the cubic Schrödinger equation.- Hamiltonian deformations and optical fibers.- The Josephson fluxon mechanics.- Real lattices modelled by the nonlinear Schrödinger equation and its generalizations.- Modulation of trapped waves giving approximate two-dimensional solitions.- Solvable nonlinear equations as concrete realizations of the same abstract algebra.- Properties of solutions of dispersive equations.- Multichannel nonlinear scattering theory for nonintegrable equations.- On the linear stability of solitary waves in Hamiltonian systems with symmetry.- Nonlinear Schrödinger equations with magnetic field Existence and stability of solitary waves.

Edition details

• Publisher: Springer
• Publication date: 1989
• Language: English
• ISBN 10: 3540516158
• ISBN 13: 9783540516156
• Binding: Hardcover
• Edition number: 1
• Number of pages: 344