On multi-dimensional packets of surface waves

Prasad, Phoolan ; Krishnan, E. V. (1978) On multi-dimensional packets of surface waves Journal of the Physical Society of Japan, 44 . pp. 1028-1032. ISSN 0031-9015

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Official URL: http://jpsj.ipap.jp/link?JPSJ/44/1028/

Related URL: http://dx.doi.org/10.1143/JPSJ.44.1028


By using the method of operators of multiple scales, two coupled nonlinear equations are derived, which govern the slow amplitude modulation of surface gravity waves in two space dimensions. The equations of Davey and Stewartson, which also govern the two-dimensional modulation of the amplitude of gravity waves, are derived as a special case of our equations. For a fully dispersed wave, symmetric about a point which moves with the group velocity, the coupled equations reduce to a nonlinear Schrödinger equation with extra terms representing the effect of the curvature of the wavefront.

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