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Weakly nonlinear surface waves over a random seabed

Published online by Cambridge University Press:  17 February 2003

CHIANG C. MEI  and
MATTHEW J. HANCOCK
CHIANG C. MEI
Affiliation:
Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
MATTHEW J. HANCOCK
Affiliation:
Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
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Abstract

We study the effects of multiple scattering of slowly modulated water waves by a weakly random bathymetry. The combined effects of weak nonlinearity, dispersion and random irregularities are treated together to yield a nonlinear Schrödinger equation with a complex damping term. Implications for localization and side-band instability are discussed. Transmission and nonlinear evolution of a wave packet past a finite strip of disorder is examined.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 475 , 25 January 2003 , pp. 247 - 268
Copyright
© 2003 Cambridge University Press

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