TY - JOUR
T1 - Recurrent solutions of Alber's equation for random water-wave fields
AU - Stiassnie, Miky
AU - Regev, A.
AU - Agnon, Y.
N1 - Funding Information:
This research was supported by The Israel Science Foundation (Grant 695/04) and by the US–Israel Binational Science Foundation (Grant 2004-205). The authors are grateful to Dr A. Zuevsky for his help in the early stages of this work.
PY - 2008/3/10
Y1 - 2008/3/10
N2 - The study addresses the linear instability of narrow spectra homogeneous seas and its subsequent evolution in time, subject to inhomogeneous disturbances. Specifically, we study unidirectional spectra, where according to the kinetic equation no spectral evolution is expected. In the region of instability, recurrent evolution is discovered. This recurrence is the stochastic counterpart of the Fermi - Pasta - Ulam recurrence obtained for the cubic Schrödinger equation.
AB - The study addresses the linear instability of narrow spectra homogeneous seas and its subsequent evolution in time, subject to inhomogeneous disturbances. Specifically, we study unidirectional spectra, where according to the kinetic equation no spectral evolution is expected. In the region of instability, recurrent evolution is discovered. This recurrence is the stochastic counterpart of the Fermi - Pasta - Ulam recurrence obtained for the cubic Schrödinger equation.
UR - http://www.scopus.com/inward/record.url?scp=40349088714&partnerID=8YFLogxK
U2 - 10.1017/S0022112007009998
DO - 10.1017/S0022112007009998
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AN - SCOPUS:40349088714
SN - 0022-1120
VL - 598
SP - 245
EP - 266
JO - Journal of Fluid Mechanics
JF - Journal of Fluid Mechanics
ER -