Singular Limits of Dispersive Waves - Nicolas Michael Ercolani - Bog

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.