Asymptotic Perturbation Theory of Waves
- Perturbed Oscillations and Waves: Introductory Examples
- Quasi-Harmonic Oscillators
- Linear oscillator with damping
- Oscillator with cubic nonlinearity
- An active system: Van der Pol oscillator
- Quasi-Harmonic Waves
- Linear wave equation with dissipation
- Nonlinear wave
- Perturbation Method for Quasi-Harmonic Waves
- General Scheme
- Resonant Interaction of Waves
- Geometrical Acoustics
- Nonlinear Electromagnetic Waves in a Dispersive Dielectric
- Perturbation Method for Non-Sinusoidal Waves
- Nonlinear Waves of Modulation
- Perturbation Methods for Solitary Waves and Fronts
- Perturbed Solitons
- Interaction and Ensembles of Solitons and Kinks
- Dissipative and Active Systems. Autowaves
- Burgers Equation and Taylor Shocks
- Autosolitons and Explosive Instability
- Parametric Amplification of Solitons
- Solitons as accelerated particles