Nonlinear Waves: Classical and Quantum Aspects

Front Matter....Pages 1-1
Towards Algebro-Geometric Integration of the Gross-Pitaevskii Equation....Pages 3-14
On Modeling Adiabatic N -Soliton Interactions....Pages 15-28
Dynamical Stabilization of nonlinear Waves....Pages 29-44
Solitons as Strange Attractors....Pages 45-60
Multidimensional Solitons and Vortices in Periodic Potentials....Pages 61-80
Globally-Linked Vortex Clusters....Pages 81-98
Solutions of the Logarithmic Schrödinger Equation in a Rotating Harmonic Trap....Pages 99-106
Linear and Nonlinear Bound States in Curved Waveguides....Pages 107-120
Numerical Study of a Nonlocal Sine-Gordon Equation....Pages 121-128
A Fruitful Interplay: From Nonlocality to Fractional Calculus....Pages 129-133
On 3+1 Dimensional Friedman-Robertson-Walker Universes with Matter....Pages 135-143
Stochastic Effects on the Eckhaus Equation....Pages 145-150
Modulational Instability of Some Nonlinear Continuum and Discrete Models....Pages 151-156
Scattering of NLS Solitons with Bound Quantum States....Pages 157-162
“Oscillator-Wave” Model: Multiple Attractors and Strong Stability....Pages 163-171
Front Matter....Pages 173-173
Bose-Einstein Condensation: The Odd Nonlinear Quantum Mechanics....Pages 175-192
Statistical Mechanics of Quantum Integrable Systems....Pages 193-207
Bose-Einstein Condensates in an Optical Lattice....Pages 209-222
Bose-Einstein Condensates in Optical Lattices in the Nonlinear Regime....Pages 223-236
Quantum Bound States and Matter Waves Delocalizations....Pages 237-250
Front Matter....Pages 173-173
Control of Matter Waves in Optical Lattices by Feshbach Resonance....Pages 251-267
Two-Component Bose-Einstein Condensates in Optical Lattices....Pages 269-283
Shock Waves in Bose-Einstein Condensates....Pages 285-290
Front Matter....Pages 291-291
Stopping and Bending Light in 2D Photonic Structures....Pages 293-302
Model of the Two Level Quantum Dots Ensemble Interacting with Ultra-Short Pulse of Coherent Radiation....Pages 303-312
Enhanced Optical Transmission Via Tunnel Coupling in Surface Polaritonic Crystals....Pages 313-326
Liquid Light in Cubic-Quintic Nonlinear Optical Materials....Pages 327-351
Optical Pulse Evolution Toward Light Bullet and Vortex Solution....Pages 353-359
The Description of Extremely Short Pulses in Non-Resonant Media in Frame of Maxwell-Duffing-Type Models....Pages 361-372
Statistics of Three Interacting Optical Solitons....Pages 373-379
Statistical Study of Raman Scattering in Optical Fibers Affected by Random Conditions....Pages 381-388
Electromagnetics of Unharmonic Waves — Exactly Solvable Models....Pages 389-395
Front Matter....Pages 397-397
Quantum Breathers in an Attractive Fermionic Hubbard Model....Pages 399-412
Energy Localization and First Order Phase Transition in Solids and Molecules....Pages 413-426
Soliton Dynamics in Randomly Perturbed Discrete Lattices....Pages 427-441
Ultrafast Electron Transfer: the Standard Theory Revisited....Pages 443-471
Nonlinear Spectroscopy Study of Vibrational Self-Trapping in Hydrogen Bonded Crystals....Pages 473-479
Quantum Anharmonic Phonons in the Fermi-Pasta-Ulam Chain....Pages 481-487
Dynamics of the Perturbed Ablowitz-Ladik Soliton Beyond the Adiabatic Approximation....Pages 489-495
Travelling Waves in a Perturbed Discrete Sine-Gordon Equation....Pages 497-501
Front Matter....Pages 397-397
Dynamics of Multicomponent Solitons in Perturbed Ladder Lattices....Pages 503-510
Miwa’s Representation of the Volterra Hierarchy....Pages 511-520
Moving Topological Solitons in the Discrete Klein-Gordon Equation....Pages 521-528
Dynamics of Discrete Solitons in Media with Varying Nonlinearity....Pages 529-534
On Continuous Limits of Some Generalized Compressible Heisenberg Spin Chains....Pages 535-542
On the Geometry of Stationary Heisenberg Ferromagnets....Pages 543-549