Linear and Nonlinear Waves
Published on 18. October 2011
660 pages
978-1-118-03120-9 (ISBN)
Description
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.
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G. B. Whitham
Linear and Nonlinear Waves
Software
10/2011
Wiley
€307.20
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Person
Gerald Beresford Whitham was a British-born American applied mathematician and the Charles Lee Powell Professor of Applied Mathematics of Applied & Computational Mathematics at the California Institute of Technology.
Content
Introduction and General Outline.
HYPERBOLIC WAVES.
Waves and First Order Equations.
Specific Problems.
Burger's Equation.
Hyperbolic Systems.
Gas Dynamics.
The Wave Equation.
Shock Dynamics.
The Propagation of Weak Shocks.
Wave Hierarchies.
DISPERSIVE WAVES.
Linear Dispersive Waves.
Wave Patterns.
Water Waves.
Nonlinear Dispersion and the Variational Method.
Group Velocities, Instability, and Higher Order Dispersion.
Applications of the Nonlinear Theory.
Exact Solutions: Interacting Solitary Waves.
References.
Index.
