Linear and nonlinear waves

Author(s)

• Whitham, G. B. (Gerald Beresford)

Bibliographic Information

Linear and nonlinear waves

G.B. Whitham

（Pure and applied mathematics, 1237）

Wiley, c1999

Note

"A Wiley-Interscience publication"

Bibliography: p. 621-628

Includes index

Originally published: New York: Wiley: 1974.

Description and Table of Contents

Description

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.

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.

by "Nielsen BookData"

Details

• NCID: BA43923410
• ISBN:
  • 0471359424
• LCCN: 99028957
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: New York
• Pages/Volumes: xvi, 636 p.
• Size: 23 cm
• Classification:
  • LCC : QA927
  • DC : 531/.1133
• Subject Headings:
  • LCSH : Wave-motion, Theory of
  • LCSH : Waves
• Parent Bibliography ID:
  • BA00007488