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Linear and Nonlinear Waves G. B. Whitham (California Institute of Technology, Pasadena)

Linear and Nonlinear Waves By G. B. Whitham (California Institute of Technology, Pasadena)

Summary

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.

Linear and Nonlinear Waves Summary

Linear and Nonlinear Waves by G. B. Whitham (California Institute of Technology, Pasadena)

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.

Linear and Nonlinear Waves Reviews

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)

About G. B. Whitham (California Institute of Technology, Pasadena)

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.

Table of Contents

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.

Additional information

NLS9780471359425
9780471359425
0471359424
Linear and Nonlinear Waves by G. B. Whitham (California Institute of Technology, Pasadena)
New
Paperback
John Wiley & Sons Inc
1999-07-15
660
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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Customer Reviews - Linear and Nonlinear Waves