ABSTRACT

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.

chapter |2 pages

Introduction

chapter chapter 1|15 pages

Physical Framework

chapter chapter 2|26 pages

Introductory Concepts for Wave Motion

chapter chapter 3|13 pages

Ray Methods for Linear Waves

chapter chapter 4|11 pages

Ray Methods for Nonlinear Hyperbolic Waves

chapter chapter 5|10 pages

Ray Method for the Propagation of Discontinuities

chapter chapter 6|11 pages

Generalized Wavefront Expansion for Weak Shocks

chapter chapter 7|15 pages

Small Time Analysis and Shock Stability

chapter chapter 8|28 pages

Ray Methods for Nonlinear Dispersive Waves

chapter chapter 9|9 pages

Ray Methods for Nonlinear Dissipative Waves

chapter chapter 10|39 pages

Interaction of Dispersive Waves

chapter chapter 11|49 pages

Interaction of Hyperbolic Waves