Geodesic

Sommaire du Fascicule no. 1

Periodic-Group-Delay Dispersion Compensation Reduces Collision-Induced Timing Shifts in Dispersion-Managed Quasilinear Systems
p. 6-13
Completeness of the Cubic and Quartic Henon--Heiles Hamiltonians
p. 14-25
Noncommuting Coordinates, Exotic Particles, and Anomalous Anyons in the Hall Effect
p. 26-34
Classification of Integrable $(2+1)$-Dimensional Quasilinear Hierarchies
p. 35-43
Traveling-Wave Solutions of the Calogero--Degasperis--Fokas Equation in $2+1$ Dimensions
p. 44-55
Statistical Approach to Modulational Instability in Nonlinear Discrete Systems
p. 56-63
Symmetries of Field Theories on the Noncommutative Plane
p. 64-73
Resonance Capture in a Nonlinear System
p. 74-82
Hamiltonian Flows on Euler-Type Equations
p. 83-93
Integrable Deformations of Algebraic Curves
p. 94-101
Light Propagation in a Cole-Cole Nonlinear Medium via the Burgers--Hopf Equation
p. 102-109
Quantum Integrable Multiatom Matter-Radiation Models With and Without the Rotating-Wave Approximation
p. 110-121
Necessary Covariance Conditions for a One-Field Lax Pair
p. 122-132
Soliton Resonances for the MKP-II
p. 133-142
Elementary Darboux Transformations and Factorization
p. 143-152
Backlund Loop Algebras for Compact and Noncompact Nonlinear Spin Models in $(2+1)$ Dimensions
p. 153-161
Degenerate Four-Virtual-Soliton Resonance for the KP-II
p. 162-170
Interaction of Vortical and Acoustic Waves: From General Equations to Integrable Cases
p. 171-181
Inhomogeneous Current States in a Gauged Two-Component Ginzburg--Landau Model
p. 182-189
Essential Conservation Laws for Equations with Infinite Symmetries
p. 190-198
Dirac-Type Operators on Curved Spaces and the Role of Killing--Yano Tensors
p. 199-208

Sommaire du Fascicule no. 2

Integrability of Generalized (Matrix) Ernst Equations in String Theory
p. 214-225
Stabilization Mechanism for Two-Dimensional Solitons in Nonlinear Parametric Resonance
p. 226-233
Wannier Functions for Quasiperiodic Finite-Gap Potentials
p. 234-256
Spectral Theory of the Nonstationary Schrodinger Equation with a Two-Dimensionally Perturbed Arbitrary One-Dimensional Potential
p. 257-276
Evolution of Optical Pulses in Fiber Lines with Lumped Nonlinear Devices as a Mapping Problem
p. 277-289
Quadratic Integrals of Motion for Systems of Identical Particles: The Quantum Case
p. 290-294
Solutions of a Camassa--Holm Hierarchy in $(2+1)$ Dimensions
p. 295-301
Modeling Adiabatic $N$-Soliton Interactions and Perturbations
p. 302-312
Multicomponent NLS-Type Equations on Symmetric Spaces and Their Reductions
p. 313-323
Bistable Solitons in Single- and Multichannel Waveguides with the Cubic-Quintic Nonlinearity
p. 324-335
$p$-Adic Pseudodifferential Operators and Analytic Continuation of Replica Matrices
p. 336-341
An Analytic Approach to $Q$-Balls
p. 342-347
Exponentially Tapered Josephson Junction: Some Analytic Results
p. 348-353
A New Type of Stretched Solutions Excited by Initially Stretched Vortex Filaments for the Local Induction Equation
p. 354-363
Classical and Quantum Systems: Alternative Hamiltonian Descriptions
p. 364-383
Fresnel Tomography: A Novel Approach to Wave-Function Reconstruction Based on the Fresnel Representation of Tomograms
p. 384-393
Let's Lie: A Miraculous Haul of Fishes
p. 394-404
Complex Sine-Gordon-2: A New Algorithm for Multivortex Solutions on the Plane
p. 405-409
Perturbative Analysis of Wave Interaction in Nonlinear Systems
p. 410-422
Killed Random Processes and Heat Kernels
p. 423-432

Sommaire du Fascicule no. 3

Hochschild Cohomology of the Algebra of Smooth Functions on the Torus
p. 435-452
The Riemann Problem and Matrix-Valued Potentials with a~Convergent Baker--Akhiezer Function
p. 453-471
Phase Condition for the Grover Algorithm
p. 472-483
Applying the Pfaffianization Procedure to the Two-Dimensional Leznov Lattice
p. 484-491
Relativistically Covariant Quantum Field Theory of the Maslov Complex Germ
p. 492-512
dS--AdS Structures in Noncommutative Minkowski Spaces
p. 513-543
Spectrum of a Model Operator in the Perturbation Theory of the Essential Spectrum
p. 544-554
Additional Curvature of Spinning-Particle Trajectories Proportional to the Trajectory Torsion
p. 555-563
Tree Growth Parameter in the Eden Model on Face-Centered Hypercubic Lattices
p. 564-576