Now in an accessible paperback edition, this classic work is just as relevant as when it first appeared in 1974, due to the increased use of nonlinear waves. It covers the behavior of waves in two parts, with the first part addressing hyperbolic waves and the second addressing dispersive waves. The mathematical principles are presented along with examples of specific cases in communications and specific physical fields, including flood waves in rivers, waves in glaciers, traffic flow, sonic booms, blast waves, and ocean waves from storms.Content:
Chapter 1 Introduction and General Outline (pages 1โ15):
Chapter 2 Waves and First Order Equations (pages 17โ67):
Chapter 3 Specific Problems (pages 68โ95):
Chapter 4 Burgers' Equation (pages 96โ112):
Chapter 5 Hyperbolic Systems (pages 113โ142):
Chapter 6 Gas Dynamics (pages 143โ208):
Chapter 7 The Wave Equation (pages 209โ262):
Chapter 8 Shock Dynamics (pages 263โ311):
Chapter 9 The Propagation of Weak Shocks (pages 312โ338):
Chapter 10 Wave Hierarchies (pages 339โ359):
Chapter 11 Linear Dispersive Waves (pages 361โ402):
Chapter 12 Wave Patterns (pages 403โ430):
Chapter 13 Water Waves (pages 431โ484):
Chapter 14 Nonlinear Dispersion and the Variational Method (pages 485โ510):
Chapter 15 Group Velocities, Instability, and Higher Order Dispersion (pages 511โ532):
Chapter 16 Applications of the Nonlinear Theory (pages 533โ576):
Chapter 17 Exact Solutions; Interacting Solitary Waves (pages 577โ620):