Optical Solitons

1. Introduction
2. Short Pulses in Optical Fibres
2.1 Solitons in Single-Mode Fibres
2.2 Self-Phase Modulation of Pulses
2.3 Soliton Regime of Ultrashort Pulse Propagation. Bright and Dark Solitons
2.3.1 Presoliton Region
2.3.2 Near-Soliton Region
2.3.3 Multi-Soliton Region
2.4 Observations of Solitons
2.5 Electromagnetic Shock Waves
2.6 Influence of Higher Order Dispersion and Dissipation on Soliton Dynamics
2.7 Amplification of Optical Solitons in Fibres
2.8 Modulation Instability of Electromagnetic Waves
2.9 Generation of Periodic Pulse Sequences
2.10 Multi-Mode Effects on Soliton Regimes of Propagation
2.11 The Soliton Laser
2.12 The Soliton Self-Frequency Shift
2.13 Multi-Component (Vector) Optical Solitons
3. Soliton Interaction
3.1 General Representations in Integrable and Nonintegrable Systems: Direct and IST-Based Methods
3.2 Interaction Between Optical Solitons
3.3 Inelastic Soliton Interactions
3.4 Interaction Between a Soliton and a Nonlinear Periodic Wave in an Optical Fibre
3.5 Solitons in Two Tunnel-Coupled Optical Waveguides
4. Statistical Dynamics of Optical Solitons
4.1 Random Pulses in an Optical Fibre. Numerical Simulation in the Presoliton Region
4.2 Noise Signals in the Near Field
4.3 Noise Signals in the Far Field
4.4 Random Pulses in Fibres (Soliton Region)
4.5 Solitons in Random Nonuniform Fibres
4.6 Random Amplification of Solitons
4.7 Dynamic Chaos of Optical Solitons
4.8 Optical Turbulence in Passive Optical Resonators
5. Optical Solitons in Resonant and Active Media
5.1 The Maxwell-Bloch System. Soliton Solutions
5.2 Optical Solitons in an Active Fibre
5.3 Scattering of a Weak Wave on an Optical Soliton
5.4 Theory of Superfluorescence
5.5 Solitons in Stimulated Raman Scattering
5.6 The Evolution of SRS Solitons Under the Action of Molecular Relaxation
6. Quantum Optical Solitons
6.1 Hamiltonian Formulation of the IST-Method and Classical r-Matrix
6.2 Quantum Nonlinear Schrödinger Equation