TY - JOUR
T1 - On Multi-Dimensional Packets of Surface Waves
AU - Prasad, Phoolan
AU - Krishnan, E. V.
PY - 1978
Y1 - 1978
N2 - 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 Schrodinger equation with extra terms representing the effect of the curvature of the wavefront.
AB - 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 Schrodinger equation with extra terms representing the effect of the curvature of the wavefront.
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U2 - 10.1143/JPSJ.44.1028
DO - 10.1143/JPSJ.44.1028
M3 - Article
AN - SCOPUS:0017946198
SN - 0031-9015
VL - 44
SP - 1028
EP - 1032
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
IS - 3
ER -