Abstract
Significant progress in the understanding of nonlinear dynamics has been made in the past decade. New concepts, such as solitons, recurrence, chaotic motion and bifurcation have been discovered and related to important physical phenomena. The study of nonlinear deep-water waves has been both the cause and consequence of many of these novel concepts.
A survey of the recent developments in water waves is presented. This includes the nonlinear Schrödinger equation, the theoretical and experimental studies of envelope solitons and recurrence phenomena, stability analysis in two and three dimensions, discovery of new three-dimensional steady wave patterns and chaotic behavior in the long time evolution of a nonlinear wavetrain. Much of the mathematics and many of the techniques are related and applicable to other branches of science, including biological systems.
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© 1984 Plenum Press, New York
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Yuen, H.C. (1984). Nonlinear Phenomena in a Dispersive System with Applications to Water Waves. In: Adey, W.R., Lawrence, A.F. (eds) Nonlinear Electrodynamics in Biological Systems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2789-9_29
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DOI: https://doi.org/10.1007/978-1-4613-2789-9_29
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