Linear and Nonlinear WavesNow 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. |
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Contents
Introduction and General Outline | 1 |
The Wave Equation | 3 |
Shock Dynamics | 8 |
Copyright | |
29 other sections not shown
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Common terms and phrases
amplitude appear apply appropriate approximation argument becomes behavior boundary breaking Chapter characteristic conservation consider constant continuous corresponding curve defined density dependence derivatives described detail determined developed differential dimensional direction discontinuity discussion dispersion relation disturbance effects energy equation example expansion expression flow fluid follows formulation function further give given heat Hence hyperbolic ideas important included increase independent initial integral interesting introduce jump leads limit linear lines mean motion moving nonlinear normal noted obtained original particular periodic phase plane positive possible problem propagation quantities reduced refer region relation remains satisfy shock shock conditions shown shows side similar simple solution solved speed surface taken theory tion typical uniform usually variables variational wavefront waves weak written zero дх
Bibliographic information
| Title | Linear and Nonlinear Waves |
| Author | G. B. Whitham |
| Edition | illustrated |
| Publisher | Wiley, 1974 |
| Original from | the University of California |
| Digitized | Jun 5, 2009 |
| ISBN | 0471940909, 9780471940906 |
| Length | 656 pages |
| Subjects | › Mathematics / General Science / Waves & Wave Mechanics |
| Export Citation | BiBTeX EndNote RefMan |