Singular Limits of Dispersive Waves

ISBN-13: 9780306446283 / Angielski / Twarda / 1994 / 369 str.

N. M. Ercolani; I. R. Gabitov; C. D. Levermore

Opis

Proceedings of a NATO Advanced Research Workshop, and of a Chaos, Order, and Patterns Panel sponsored workshop on title], held in Lyons, France, July 1991. The refereed papers fall into three general areas: Whitham modulation equations and their exact solutions; asymptotics and limits; and existenc

Spis treści

Whitham Modulation Equations and their Exact Solutions: The Whitham Equation and Shocks in the Toda Lattice; Bloch, Kodama. Semiclassical Behavior in the NLS Equation; Bronski, McLaughlin. A Numerical Study of Nearly Integrable Modulation Equations; Forest, Sinha. The Quasiclassical Limit of the Inverse Scattering Method; Geogjaev. Asymptotics and Limits: Long-Time Asymptotics for the Autocorrelation Function of the Transverse Ising Chain at the Critical Magnetic Field; Deift, Zhou. Resonances in Multifrequency Averaging Theory; Dobrokhotov. Billiards Systems and the Transportation Equation; Golse. Existence and Regularity of Dispersive Waves: Geometric Phases and Monodromy at Singularities; Alber, Marsden. Nonlinear Waves and the 1:1:2 Resonance; Craig, Wayne. Defects of One Dimensional Vortex Lattices; Chernykh, et al. 15 additional articles. Index.