Linear and Nonlinear Waves

G. B. Whitham (Autor)

Buch | Softcover

660 Seiten

1999
Wiley-Interscience (Verlag)
978-0-471-35942-5 (ISBN)

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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.

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.

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.

Erscheint lt. Verlag	15.7.1999
Reihe/Serie	Wiley Series in Pure and Applied Mathematics
Sprache	englisch
Maße	155 x 229 mm
Gewicht	912 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Mechanik
ISBN-10	0-471-35942-4 / 0471359424
ISBN-13	978-0-471-35942-5 / 9780471359425
Zustand	Neuware