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