Presents in a systematic and unified manner the ray method, in its various forms, for studying nonlinear wave propagation in situations of physical interest, essentially fluid dynamics and plasma physics.
Introduction 1. Physical Framework 2. Introductory Concepts for Wave Motions 3. Ray Methods for Linear Waves 4. Ray Methods for Nonlinear Hyperbolic Waves 5. Ray Method for the Propagation of Discontinuities 6. Generalized Wavefront Expansion for Weak Shocks 7. Small Time Analysis and Shock Stability 8. Ray Methods for Nonlinear Dispersive Waves 9. Ray Methods for Nonlinear Dissipative Waves 10. Interaction of Dispersive Waves 11. Interaction of Hyperbolic Waves
Anile, Marcelo; Pantano, P; Russo, G; Hunter, J