Linear and Nonlinear Waves by G. B. WhithamLinear and Nonlinear Waves by G. B. Whitham

Linear and Nonlinear Waves

byG. B. Whitham

Paperback | July 1, 1999

Pricing and Purchase Info


Earn 1,116 plum® points

Prices and offers may vary in store


In stock online

Ships free on orders over $25

Not available in stores


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.
INTRODUCTORY APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS With Emphasis on Wave Propagation and Diffusion G. L. Lamb Jr. Geared to scientists and engineers seeking to hone their mathematical skills, this book draws on such phenomena as heat conduction and wave motion to show how partial differential equations are used to obtain speci...
Title:Linear and Nonlinear WavesFormat:PaperbackDimensions:660 pages, 9 × 6.1 × 1.5 inPublished:July 1, 1999Publisher:WileyLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0471359424

ISBN - 13:9780471359425

Look for similar items by category:


Table of Contents

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.



From Our Editors

Recent years in the fields of applied mathematics, engineering and physics have seen the increased study and application of nonlinear waves. Author Gerald B. Whitham’s superb text, Linear and Nonlinear Waves, is as relevant today as it was when the author first published it in 1974. The book covers the behaviours of waves in two parts: the first half discusses hyperbolic waves while the second part looks at dispersive waves. The author provides many examples to illustrate such subjects as mathematical principles involved in the study of flood waves in rivers, waves in glaciers, traffic flow, sonic boons blast waves and ocean waves from storms. 

Editorial 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)