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Nonlinear Water Waves (Hardcover)
Loot Price: R7,736
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Nonlinear Water Waves (Hardcover)
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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.
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