Journal article
Transverse instabilities of deep-water solitary waves
Abstract
The dynamics of a one-dimensional slowly modulated, nearly monochromatic localized wave train in deep water is described by a one-dimensional soliton solution of a two-dimensional nonlinear Schrödinger (NLS) equation. In this paper, the instability of such a wave train with respect to transverse perturbations is examined numerically in the context of the NLS equation, using Hill's method. A variety of instabilities are obtained and discussed. …
Authors
Deconinck B; Pelinovsky DE; Carter JD
Journal
Proceedings of the Royal Society A, Vol. 462, No. 2071, pp. 2039–2061
Publisher
The Royal Society
Publication Date
July 8, 2006
DOI
10.1098/rspa.2006.1670
ISSN
1364-5021