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Home » MAA Publications » MAA Reviews » Linear and Nonlinear Waves

Linear and Nonlinear Waves

G. Whitham
Publisher: 
John Wiley
Publication Date: 
1999
Number of Pages: 
656
Format: 
Paperback
Series: 
Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts
Price: 
115.00
ISBN: 
0471359424
Category: 
Textbook
We do not plan to review this book.

 
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.
Tags: 
Partial Differential Equations
Mathematical Physics