Nonlinear Processes in Physics: Proceedings of the III Potsdam — V Kiev Workshop at Clarkson University, Potsdam, NY, USA, August 1–11, 1991

Front Matter....Pages I-XV
Front Matter....Pages 1-1
Multisoliton-like Solutions of Wave Propagation in Periodic Nonlinear Structures....Pages 3-5
Complex Deformation of Integrable Hamiltonians over Generalized Jacobi Varieties....Pages 6-20
Collective Coordinates by a Variational Approach: Problems for Sine Gordon and Φ 4 Models....Pages 21-24
Spatiotemporal Chaos in the Nonlinear Three Wave Interaction....Pages 25-28
On the Instability of the Static Soliton-like “Bubbles”....Pages 29-31
Symplectic and Hamiltonian Structures of Nonlinear Evolution Equations....Pages 32-34
A Fuchs Extension to the Painlevé Test....Pages 35-44
Modulation Equations for Nearly Integrable PDEs with Periodic Boundary Conditions....Pages 45-46
Spectrum of Domain Wall Excitations in YIG....Pages 47-52
Interaction of Defects in Nonlinear Dissipative Fields....Pages 53-59
On the Analytic Degenerate Dispersion Laws....Pages 60-63
Front Matter....Pages 65-65
Breaking Solitons. Systems of Hydrodynamic Type....Pages 67-76
Real and Virtual Multidimensional Solitons....Pages 77-81
Resolvent Approach for the Nonstationary Schrödinger Equation with Line-Type Potential....Pages 82-86
Lattice Construction of Quantum Integrable Systems....Pages 87-90
Combining Dressing and Nonlocality....Pages 91-95
Initial Boundary-Value Problems for Soliton Equations....Pages 96-101
Non-Perturbative Two-Dimensional Quantum Gravity and the Isomonodromy Method....Pages 102-107
The Action of the Virasoro Nonisospectral KdV Symmetries of the Whitham Equations....Pages 108-112
A Generalized Sato’s Equation of the KP Theory and Weyl Algebra....Pages 113-113
Front Matter....Pages 65-65
Quasirelativistic Analogs of Lax Equations....Pages 114-117
 n × n Zakharov-Shabat System of the Form ( dψ/dx )( z 2 − 1/ z 2 ) Jψ + ( zQ + P + R/z ) ψ ....Pages 118-121
Homoclinic Orbits and Bäcklund Transformations for the Doubly Periodic Davey-Stewartson Equation....Pages 122-125
Volterra Operator Algebra for Zero Curvature Representation. Universality of KP....Pages 126-131
Calculation of All Commutation Relations Among Scattering Data Without Using the R-Matrix Approach....Pages 132-135
Fluctuating Solitons of the KdV Hierarchy....Pages 136-138
The Periodic Fixed Points of Bäcklund Transformations....Pages 139-147
IST for KPI....Pages 148-149
Front Matter....Pages 151-151
A Physical Model for Nonlinear, Supersonic Equatorial Bubbles....Pages 153-165
Nonlinear Dynamics of Electron Cyclotron Heated Plasmas....Pages 166-168
Nonlinear Evolution of Alfvén Waves in Space Plasmas....Pages 169-174
Alfvén Solitons and the DNLS Equation....Pages 175-178
On the Analytical Theory for Self-Focusing of Radiation....Pages 179-179
Ionospheric Langmuir Turbulence Driven by an Electromagnetic Pump Below the Upper-Hybrid Frequency....Pages 180-184
Mode Conversions in Ionospheric Modification Experiments....Pages 185-190
On the Superstrong Wave Collapse....Pages 191-194
A Moving Boundary Problem in Plasma Physics....Pages 195-198
Proton-Whistler Interactions in the Radiation Belts....Pages 199-209
Front Matter....Pages 211-211
Optical Turbulence in Semiconductor Lasers....Pages 213-217
Chaotic Dynamics Due to Competition Among Degenerate Modes in a Ring-Cavity Laser....Pages 218-227
Front Matter....Pages 211-211
Quantum Self Phase Modulation in Optical Fibres....Pages 228-231
Quantum Groups: Q-Boson Theories of Integrable Models and Applications in Non-Linear Optics....Pages 232-240
Perturbation Method and Optical Solitons....Pages 241-241
Birefringent Optical Fibers: Modulational Instability in a Near-Integrable System....Pages 242-246
Rigorous Results in Quantum Theory of Stimulated Raman Scattering....Pages 247-251
Bäcklund Transformations as Physical Equations....Pages 252-255
Level Splitting and Band Formation of Dark Soliton Eigenvalues....Pages 256-260
Soliton Propagation in a Random Medium....Pages 261-264
Front Matter....Pages 265-265
Length Scales and the Navier-Stokes Equations....Pages 267-270
Local and Nonlocal Transfer of Motion Integrals in Wave Turbulence....Pages 271-274
Weak and Strong Turbulence in the CGL Equation....Pages 275-278
Numerical Test of a Weak Turbulence Approximation for an Electromagnetically Driven Langmuir Turbulence....Pages 279-280
Drift Wave Vortices in Inhomogeneous Plasmas....Pages 281-290
Solitons on a Vortex Filament with Axial Flow....Pages 291-298
Lagrangian Statistics of Turbulence....Pages 299-302
Pattern Formation Via Resonant Interactions in Fluid Flows....Pages 303-304
Length Scale of Vortices and Mode Competition in Quasi 2D Shear Flows....Pages 305-305
Dynamics of Vortex-Current Filaments in MHD Plasma....Pages 306-309
Success of Arnol’d’s Method in a Hierarchy of Ocean Models....Pages 310-314
Wavelets and Two Dimensional Turbulence....Pages 315-325
Front Matter....Pages 327-327
Spectral Theory of Linear λ-Matrices and the Solution of Certain Nonlinear Algebraic and Functional Equations....Pages 329-333
Nonlinear Acoustic Tomography....Pages 334-338
Spectral Transform for Nonlinear Evolution Equations with N Space Dimensions....Pages 339-342
Back Matter....Pages 343-344