Singular Limits of Dispersive Waves

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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

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Non-Fiction Science Physics Classical Mathematics Wave Mechanics including Vibration & Acoustics Science in General Maths for Scientists

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Published: 24th October 2012

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The Whitham Equation and Shocks in the Toda Lattice	p. 1
Semiclassical Behavior in the NLS Equation: Optical Shocks-Focusing Instabilities	p. 21
A Numerical Study of Nearly Integrable Modulation Equations	p. 39
The Quasiclassical Limit of the Inverse Scattering Method	p. 53
Solving Dispersionless Lax Equations	p. 61
Nonisospectral Symmetries of the KdV Equations and the Corresponding Symmetries of the Whitham Equations	p. 67
Breaking Problem in Dispersive Hydrodynamics	p. 89
Whitham Deformations of Two-Dimensional Lioville Tori	p. 105
Higher Rank Darboux Transformations	p. 117
On the Initial Value Problem of the Whitham Averaged System	p. 135
On the Integrability of the Averaged KdV and Benney Equations	p. 143
Explicit Construction of the Lax-Levermore Minimizer for the KdV Zero Dispersion Limit	p. 157
Dispersionless Limit of Integrable Systems in 2+1 Dimensions	p. 165
KdV Equation with Nontrivial Boundary Conditions at [actual symbol not reproducible]	p. 175
Long-time Asymptotics for the Autocorrelation Function of the Transverse Ising Chain at the Critical Magnetic Field	p. 183
Resonances in Multifrequency Averaging Theory	p. 203
Billiards Systems and the Transport Equation	p. 219
The Behavior of Solutions of the NLS Equation in the Semiclassical Limit	p. 235
Critical and Subcritical Cases of the Toda Shock Problem	p. 257
Geometric Phases and Monodromy at Singularities	p. 273
Nonlinear Waves and the 1:1:2 Resonance	p. 297
Defects of One-Dimensional Vortex Lattices	p. 315
Oscillations Arising in Numerical Experiments	p. 329
On the Hierarchy of the Generalized KdV Equations	p. 347
A New Theory of Shock Dynamics	p. 357
Index	p. 365
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Singular Limits of Dispersive Waves

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