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| NONLINEAR WATER WAVES
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By
Lokenath Debnath, University of Central Florida, Orlando, U.S.A.
Description
Wave motion in water is one of the most striking observable phenomena in nature. Throughout the twentieth century, development of the
linearized theory of wave motion in fluids and hydrodynamic stability has been steady and significant. In the last three decades there
have been remarkable developments in nonlinear dispersive waves in general, nonlinear water waves in particular, and nonlinear instability
phenomena. New solutions are now available for waves modulatedin both space and time, which exhibit new phenomena as diverse as solitons,
resonant interactions, side-band instability, and wave-breaking. Other achievements include the discovery of soliton interactions, and
the Inverse Scattering Transform method forfinding the explicit exact solution for several canonical nonlinear partial differential equations.
This monograph is the first to summarize the research on nonlinear wave phenomena over the past three decades, and it also presents
numerous applications in physics, geophysics, and engineering.
Audience
Graduate, post-graduate students, researchers and practitioners in applied mathematics, physics, geophysics, civil, mechanical and electrical
engineering. Excellent for library markets, since this one volume will be the first of its kind to summarize the state of literature
on nonlinear water waves over the past three decades.
Contents
Basic Equations of Motion of Inviscid and Viscous Fluids. The Theory of Surface Waves on Water. Transient Wave Motions in an Inviscid
Fluid. Nonlinear Shallow Water Waves and Solitons. Ship Waves and Wave Resistance. NonlinearDiffraction of Water Waves. The Theory of
Nonlinear Dispersive Waves. Nonlinear Instability of Dispersive Waves with Applications to Water Waves. Bibliography. Index.
| Bibliographic details |
Hardbound, 544 pages, publication date: MAR-1994
ISBN-13: 978-0-12-208437-9
ISBN-10: 0-12-208437-3
Imprint: ACADEMIC PRESS
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| Price and Ordering |
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Last update: 4 Sep 2009
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