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Linear and Nonlinear Waves : Pure and Applied Mathematics - G. B. Whitham

Linear and Nonlinear Waves

Pure and Applied Mathematics


Published: 1st July 1999
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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.

The re-issue of this excellent book on linear and nonlinear waves in paperback form is to be welcomed. (Zentralblatt Math, Volume 940, No 15, 2000)

Introduction and General Outline.


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.


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.



ISBN: 9780471359425
ISBN-10: 0471359424
Series: Pure and Applied Mathematics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 660
Published: 1st July 1999
Country of Publication: US
Dimensions (cm): 23.06 x 15.55  x 4.01
Weight (kg): 0.93
Edition Number: 1