• Perturbed Oscillations and Waves: Introductory Examples
    • Quasi-Harmonic Oscillators
      • Linear oscillator with damping
      • Oscillator with cubic nonlinearity
      • An active system: Van der Pol oscillator
  • Perturbation Method for Quasi-Harmonic Waves
  • 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