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Other titles in the Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts series:
Linear and Nonlinear Waves (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts)
Synopses & Reviews
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.
Table of Contents
Introduction and General Outline.
Waves and First Order Equations.
The Wave Equation.
The Propagation of Weak Shocks.
Linear Dispersive Waves.
Nonlinear Dispersion and the Variational Method.
Group Velocities, Instability, and Higher Order Dispersion.
Applications of the Nonlinear Theory.
Exact Solutions: Interacting Solitary Waves.
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